Prime p₀= 953318195942808001 starts a Symmetric tuple of 20 consecutive primes (SPT).
d_n: 0 36 6 18 6 36 58 68 42 42 34 42 42 68 58 36 6 18 6 36 (?)
a_n: 0 36 42 60 66 102 160 228 270 312 346 388 430 498 556 592 598 616 622 658
All 20 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 658
derived by truncating larger tuple
Found by: stoneageman
db: batch=76, k=20, 36 6 18 6 36 58 68 42 42 34

SPT(16)	953317480029211519	0 24 52 94 124 132 162 190 222 250 280 288 318 360 388 412	-715913596482
SPT(13)	953317548117785933	0 36 54 66 90 120 150 180 210 234 246 264 300	-647825022068
SPT(16)	953317699624806827	0 6 26 84 104 110 134 174 176 216 240 246 266 324 344 350	-496318001174
SPT(16)	953317723136540341	0 6 10 12 30 52 72 90 118 136 156 178 196 198 202 208	-472806267660
SPT(16)	953318026240088147	0 14 20 56 144 150 162 176 240 254 266 272 360 396 402 416	-169702719854
SPT(22)	953318195942807993	0 8 44 50 68 74 110 168 236 278 320 354 396 438 506 564 600 606 624 630 666 674	-8
STPT(10)	953318432383585901	0 2 6 8 48 50 90 92 96 98	236440777900
SPT(16)	953318792097675061	0 10 16 28 58 66 102 112 216 226 262 270 300 312 318 328	596154867060
TPT(14)	953318806916521037	0 2 12 14 42 44 114 116 150 152 180 182 210 212	610973713036
STPT(10)	953318838507977657	0 2 72 74 102 104 132 134 204 206	642565169656
STPT(10)	953318882565777587	0 2 30 32 72 74 114 116 144 146	686622969586
SPT(16)	953319096389533877	0 2 42 54 72 146 152 164 222 234 240 314 332 344 384 386	900446725876