Prime p₀= 1295687352683735831 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 118 2 58 2 58 2 118 2 (?)
a_n: 0 2 120 122 180 182 240 242 360 362
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: 362
Found by: Cruncher Pete
db: batch=77, k=10, 2 118 2 58 2

SPT(16)	1295686273897725443	0 38 86 90 114 116 156 188 276 308 348 350 374 378 426 464	-1078786010388
STPT(10)	1295686423802131577	0 2 60 62 72 74 84 86 144 146	-928881604254
STPT(10)	1295686706849664707	0 2 30 32 42 44 54 56 84 86	-645834071124
STPT(12)	1295686776947940101	0 2 18 20 60 62 96 98 138 140 156 158	-575735795730
SPT(16)	1295687095896016133	0 36 50 90 98 128 140 146 150 156 168 198 206 246 260 296	-256787719698
STPT(10)	1295687261883943169	0 2 48 50 90 92 132 134 180 182	-90799792662
SPT(16)	1295687647980500629	0 4 24 54 78 82 88 138 154 204 210 214 238 268 288 292	295296764798
SPT(16)	1295688173271715133	0 8 66 78 110 128 144 186 218 260 276 294 326 338 396 404	820587979302
STPT(10)	1295688733406126831	0 2 30 32 78 80 126 128 156 158	1380722391000
SPT(16)	1295688767164958197	0 6 42 52 64 76 84 94 132 142 150 162 174 184 220 226	1414481222366
STPT(10)	1295688838262951651	0 2 36 38 78 80 120 122 156 158	1485579215820