Prime p₀= 1124996879140413311 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 136 2 58 2 58 2 136 2 (?)
a_n: 0 2 138 140 198 200 258 260 396 398
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: 398
Found by: crashtech
db: batch=76, k=10, 2 136 2 58 2

SPT(16)	1124994929373898061	0 62 90 110 122 146 150 180 182 212 216 240 252 272 300 362	-1949766515250
SPT(16)	1124994940539471719	0 44 72 78 90 98 104 128 174 198 204 212 224 230 258 302	-1938600941592
STPT(10)	1124995046533359107	0 2 30 32 42 44 54 56 84 86	-1832607054204
SPT(16)	1124995405276513571	0 6 48 78 138 140 168 180 206 218 246 248 308 338 380 386	-1473863899740
STPT(10)	1124995763344481837	0 2 54 56 72 74 90 92 144 146	-1115795931474
STPT(10)	1124996174022594779	0 2 42 44 90 92 138 140 180 182	-705117818532
STPT(10)	1124997431995510889	0 2 48 50 90 92 132 134 180 182	552855097578
SPT(16)	1124997732391183631	0 8 26 36 102 116 126 168 260 302 312 326 392 402 420 428	853250770320
STPT(10)	1124997837952453877	0 2 24 26 42 44 60 62 84 86	958812040566
SPT(16)	1124998665484543979	0 42 90 98 108 182 192 198 224 230 240 314 324 332 380 422	1786344130668
STPT(10)	1124998791432502541	0 2 36 38 78 80 120 122 156 158	1912292089230