Prime p₀= 1273832566499857757 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: HenkM
db: batch=77, k=10, 2 28 2 10 2

SPT(16)	1273831500519597667	0 22 40 60 64 70 84 130 156 202 216 222 226 246 264 286	-1065980260090
STPT(10)	1273831524757840847	0 2 30 32 42 44 54 56 84 86	-1041742016910
SPT(16)	1273831760429187733	0 28 48 70 96 138 156 208 246 298 316 358 384 406 426 454	-806070670024
STPT(10)	1273831886595351227	0 2 60 62 72 74 84 86 144 146	-679904506530
SPT(16)	1273831910109514751	0 30 42 48 116 150 210 228 230 248 308 342 410 416 428 458	-656390343006
SPT(16)	1273832546947888153	0 10 24 28 48 66 78 90 94 106 118 136 156 160 174 184	-19551969604
SPT(16)	1273832778971309119	0 12 30 72 112 114 138 160 162 184 208 210 250 292 310 322	212471451362
SPT(16)	1273832949834303611	0 18 48 60 62 140 146 200 288 342 348 426 428 440 470 488	383334445854
STPT(10)	1273833529721794367	0 2 42 44 72 74 102 104 144 146	963221936610
TPT(14)	1273833693275504129	0 2 18 20 72 74 168 170 198 200 222 224 228 230	1126775646372
STPT(10)	1273833857235708029	0 2 18 20 30 32 42 44 60 62	1290735850272