Prime p₀= 2582129046717839789 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: 122
Found by: [AF>Le_Pommier] Jerome_C2005
db: batch=82, k=10, 2 16 2 40 2

SPT(16)	2582128046105413621	0 46 90 228 238 246 270 280 288 298 322 330 340 478 522 568	-1000612426168
STPT(10)	2582128653913540001	0 2 6 8 48 50 90 92 96 98	-392804299788
SPT(13)	2582128847965218691	0 42 60 90 102 132 150 168 198 210 240 258 300	-198752621098
STPT(10)	2582128860993343577	0 2 24 26 42 44 60 62 84 86	-185724496212
SPT(18)	2582128976440293751	0 22 28 42 130 142 150 160 190 198 228 238 246 258 346 360 366 388	-70277546038
STPT(10)	2582128982943800831	0 2 30 32 78 80 126 128 156 158	-63774038958
SPT(16)	2582129085738082103	0 66 80 168 186 188 194 198 266 270 276 278 296 384 398 464	39020242314
TPT(14)	2582129427297814481	0 2 36 38 66 68 90 92 96 98 126 128 138 140	380579974692
SPT(16)	2582129476632318581	0 26 62 72 146 168 170 218 300 348 350 372 446 456 492 518	429914478792
SPT(16)	2582129667472630871	0 12 38 68 78 128 138 140 180 182 192 242 252 282 308 320	620754791082
SPT(16)	2582130192080635957	0 4 90 102 154 166 222 276 400 454 510 522 574 586 672 676	1145362796168