Prime p₀= 1297960858183393907 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Cruncher Pete
db: batch=77, k=10, 2 22 2 16 2

SPT(16)	1297959787310130943	0 4 64 84 94 108 118 130 168 180 190 204 214 234 294 298	-1070873262964
SPT(16)	1297959909697000441	0 6 12 30 42 48 90 132 156 198 240 246 258 276 282 288	-948486393466
STPT(10)	1297959983320983791	0 2 6 8 48 50 90 92 96 98	-874862410116
SPT(16)	1297960044257965969	0 40 72 112 114 150 154 160 174 180 184 220 222 262 294 334	-813925427938
STPT(10)	1297960233238917509	0 2 18 20 30 32 42 44 60 62	-624944476398
STPT(10)	1297960589760431039	0 2 42 44 60 62 78 80 120 122	-268422962868
STPT(10)	1297961206954131689	0 2 12 14 30 32 48 50 60 62	348770737782
STPT(10)	1297961278478757017	0 2 30 32 72 74 114 116 144 146	420295363110
SPT(16)	1297961451263556977	0 2 42 102 126 150 156 162 374 380 386 410 434 494 534 536	593080163070
SPT(16)	1297961675979721717	0 4 6 40 54 70 82 96 130 144 156 172 186 220 222 226	817796327810
STPT(10)	1297961754260807717	0 2 42 44 132 134 222 224 264 266	896077413810