Prime p₀= 3031592970401378429 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 182
Found by: [SG-FC] hl
db: batch=82, k=10, 2 10 2 76 2

SPT(16)	3031592106891843301	0 28 78 88 100 112 130 148 192 210 228 240 252 262 312 340	-863509535128
TPT(14)	3031592169595367267	0 2 30 32 180 182 192 194 204 206 264 266 282 284	-800806011162
SPT(16)	3031592383859537929	0 30 40 60 114 138 184 198 340 354 400 424 478 498 508 538	-586541840500
STPT(10)	3031592508916363001	0 2 36 38 78 80 120 122 156 158	-461485015428
SPT(16)	3031592701467559501	0 28 130 142 166 172 208 210 238 240 276 282 306 318 420 448	-268933818928
SPT(16)	3031592904806021167	0 10 40 84 94 112 120 126 190 196 204 222 232 276 306 316	-65595357262
SPT(16)	3031593330893443699	0 12 18 22 88 162 204 250 252 298 340 414 480 484 490 502	360492065270
SPT(16)	3031594024882540031	0 6 26 48 92 98 102 132 146 176 180 186 230 252 272 278	1054481161602
SPT(16)	3031594138339263011	0 36 56 98 110 120 128 168 170 210 218 228 240 282 302 338	1167937884582
SPT(16)	3031594298845950931	0 42 70 78 88 148 202 210 238 246 300 360 370 378 406 448	1328444572502
SPT(16)	3031594862145152593	0 120 156 160 226 234 268 328 366 426 460 468 534 538 574 694	1891743774164