Prime p₀= 1264438470124108397 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: Megacruncher
db: batch=77, k=10, 2 28 2 10 2

SPT(16)	1264437677079169739	0 12 14 90 104 132 188 200 222 234 290 318 332 408 410 422	-793044938658
SPT(16)	1264437702547566667	0 30 42 54 96 156 172 186 250 264 280 340 382 394 406 436	-767576541730
SPT(16)	1264437868074309559	0 12 52 54 60 82 168 190 252 274 360 382 388 390 430 442	-602049798838
SPT(16)	1264437937160304871	0 28 30 138 180 196 210 222 226 238 252 268 310 418 420 448	-532963803526
TPT(14)	1264438253452343537	0 2 84 86 150 152 162 164 204 206 234 236 240 242	-216671764860
TPT(14)	1264438329360473609	0 2 12 14 18 20 102 104 222 224 240 242 348 350	-140763634788
SPT(16)	1264439072524710337	0 24 34 100 124 136 150 154 162 166 180 192 216 282 292 316	602400601940
STPT(10)	1264439116866770309	0 2 48 50 90 92 132 134 180 182	646742661912
STPT(10)	1264439192962745867	0 2 12 14 42 44 72 74 84 86	722838637470
SPT(16)	1264439264674678931	0 2 38 60 108 128 152 168 182 198 222 242 290 312 348 350	794550570534
STPT(10)	1264439347677142361	0 2 6 8 48 50 90 92 96 98	877553033964