Prime p₀= 1124996174022594779 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 46 2 46 2 40 2 (?)
a_n: 0 2 42 44 90 92 138 140 180 182
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: crashtech
db: batch=76, k=10, 2 40 2 46 2

SPT(16)	1124994758580849467	0 12 20 42 56 84 86 110 126 150 152 180 194 216 224 236	-1415441745312
SPT(16)	1124994929373898061	0 62 90 110 122 146 150 180 182 212 216 240 252 272 300 362	-1244648696718
SPT(16)	1124994940539471719	0 44 72 78 90 98 104 128 174 198 204 212 224 230 258 302	-1233483123060
STPT(10)	1124995046533359107	0 2 30 32 42 44 54 56 84 86	-1127489235672
SPT(16)	1124995405276513571	0 6 48 78 138 140 168 180 206 218 246 248 308 338 380 386	-768746081208
STPT(10)	1124995763344481837	0 2 54 56 72 74 90 92 144 146	-410678112942
STPT(10)	1124996879140413311	0 2 138 140 198 200 258 260 396 398	705117818532
STPT(10)	1124997431995510889	0 2 48 50 90 92 132 134 180 182	1257972916110
SPT(16)	1124997732391183631	0 8 26 36 102 116 126 168 260 302 312 326 392 402 420 428	1558368588852
STPT(10)	1124997837952453877	0 2 24 26 42 44 60 62 84 86	1663929859098
SPT(16)	1124998665484543979	0 42 90 98 108 182 192 198 224 230 240 314 324 332 380 422	2491461949200