Prime p₀= 2395253158252122589 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 10 2 66 10 42 20 58 194 58 20 42 10 66 2 10 (?)
a_n: 0 10 12 78 88 130 150 208 402 460 480 522 532 598 600 610
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 610
Found by: Landjunge
db: batch=81, k=16, 10 2 66 10 42 20 58 194

SPT(16)	2395252257802510633	0 4 60 70 108 168 186 226 288 328 346 406 444 454 510 514	-900449611956
TPT(14)	2395252304913523799	0 2 30 32 78 80 132 134 330 332 468 470 498 500	-853338598790
SPT(16)	2395252549622332403	0 14 24 26 54 56 78 84 230 236 258 260 288 290 300 314	-608629790186
SPT(16)	2395252720838625433	0 4 48 90 106 118 120 148 156 184 186 198 214 256 300 304	-437413497156
SPT(16)	2395252912025354977	0 12 40 52 66 136 144 150 166 172 180 250 264 276 304 316	-246226767612
STPT(10)	2395253023728172511	0 2 36 38 78 80 120 122 156 158	-134523950078
STPT(10)	2395253542194060641	0 2 30 32 60 62 90 92 120 122	383941938052
SPT(16)	2395253706261116453	0 54 56 60 86 98 110 128 156 174 186 198 224 228 230 284	548008993864
STPT(10)	2395253876476955309	0 2 12 14 30 32 48 50 60 62	718224832720
STPT(10)	2395254049219139159	0 2 18 20 30 32 42 44 60 62	890967016570
STPT(10)	2395254251277043061	0 2 6 8 48 50 90 92 96 98	1093024920472