Prime p₀= 1082015409641057387 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: Theadalus
db: batch=76, k=10, 2 10 2 28 2

SPT(16)	1082014073465522689	0 42 64 90 120 154 160 214 258 312 318 352 382 408 430 472	-1336175534698
SPT(16)	1082014374446122021	0 28 36 42 58 76 78 88 90 100 102 120 136 142 150 178	-1035194935366
SPT(16)	1082014379254995209	0 30 44 72 92 108 122 182 240 300 314 330 350 378 392 422	-1030386062178
SPT(16)	1082014481766159631	0 18 22 42 60 118 130 228 232 330 342 400 418 438 442 460	-927874897756
SPT(16)	1082014629940289197	0 6 10 84 130 144 174 196 270 292 322 336 382 456 460 466	-779700768190
STPT(10)	1082014816946392961	0 2 30 32 78 80 126 128 156 158	-592694664426
TPT(14)	1082015479461842267	0 2 42 44 114 116 180 182 222 224 240 242 270 272	69820784880
STPT(10)	1082015575220667551	0 2 36 38 78 80 120 122 156 158	165579610164
TPT(14)	1082015925399825641	0 2 30 32 66 68 78 80 96 98 198 200 210 212	515758768254
SPT(16)	1082016042572892673	0 10 54 58 64 70 154 166 168 180 264 270 276 280 324 334	632931835286
STPT(12)	1082016444325028627	0 2 30 32 42 44 162 164 174 176 204 206	1034683971240