Prime p₀= 1295689016223922277 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)	1295688173271715133	0 8 66 78 110 128 144 186 218 260 276 294 326 338 396 404	-842952207144
STPT(10)	1295688733406126831	0 2 30 32 78 80 126 128 156 158	-282817795446
SPT(16)	1295688767164958197	0 6 42 52 64 76 84 94 132 142 150 162 174 184 220 226	-249058964080
STPT(10)	1295688838262951651	0 2 36 38 78 80 120 122 156 158	-177960970626
SPT(16)	1295688938948908051	0 30 42 70 78 108 120 132 136 148 160 190 198 226 238 268	-77275014226
SPT(16)	1295688956074357171	0 10 52 82 130 136 150 166 192 208 222 228 276 306 348 358	-60149565106
SPT(16)	1295689209480842753	0 14 78 108 114 120 126 170 174 218 224 230 236 266 330 344	193256920476
SPT(16)	1295689368528895789	0 10 40 52 88 94 138 154 168 184 228 234 270 282 312 322	352304973512
TPT(14)	1295689634977145519	0 2 60 62 102 104 138 140 180 182 222 224 312 314	618753223242
TPT(14)	1295690114244106751	0 2 18 20 120 122 210 212 228 230 240 242 288 290	1098020184474
STPT(10)	1295690160965831957	0 2 42 44 72 74 102 104 144 146	1144741909680