Prime p₀= 1295688733406126831 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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: 158
Found by: Cruncher Pete
db: batch=77, k=10, 2 28 2 46 2

STPT(12)	1295686776947940101	0 2 18 20 60 62 96 98 138 140 156 158	-1956458186730
SPT(16)	1295687095896016133	0 36 50 90 98 128 140 146 150 156 168 198 206 246 260 296	-1637510110698
STPT(10)	1295687261883943169	0 2 48 50 90 92 132 134 180 182	-1471522183662
STPT(10)	1295687352683735831	0 2 120 122 180 182 240 242 360 362	-1380722391000
SPT(16)	1295687647980500629	0 4 24 54 78 82 88 138 154 204 210 214 238 268 288 292	-1085425626202
SPT(16)	1295688173271715133	0 8 66 78 110 128 144 186 218 260 276 294 326 338 396 404	-560134411698
SPT(16)	1295688767164958197	0 6 42 52 64 76 84 94 132 142 150 162 174 184 220 226	33758831366
STPT(10)	1295688838262951651	0 2 36 38 78 80 120 122 156 158	104856824820
SPT(16)	1295688938948908051	0 30 42 70 78 108 120 132 136 148 160 190 198 226 238 268	205542781220
SPT(16)	1295688956074357171	0 10 52 82 130 136 150 166 192 208 222 228 276 306 348 358	222668230340
STPT(10)	1295689016223922277	0 2 24 26 42 44 60 62 84 86	282817795446