Prime p₀= 1268642251864647629 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 60 62
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: 62
Found by: vinn@[CNT]
db: batch=77, k=10, 2 10 2 16 2

SPT(16)	1268640823294427813	0 48 114 116 146 156 194 216 248 270 308 318 348 350 416 464	-1428570219816
SPT(16)	1268640827796230129	0 2 8 38 42 80 128 150 152 174 222 260 264 294 300 302	-1424068417500
SPT(16)	1268640897303212291	0 8 56 62 68 132 138 182 216 260 266 330 336 342 390 398	-1354561435338
STPT(10)	1268640934172986247	0 2 30 32 42 44 54 56 84 86	-1317691661382
STPT(10)	1268641265241091361	0 2 6 8 48 50 90 92 96 98	-986623556268
STPT(10)	1268641338626591507	0 2 30 32 42 44 54 56 84 86	-913238056122
STPT(10)	1268642544080928221	0 2 6 8 18 20 30 32 36 38	292216280592
SPT(16)	1268642639417787329	0 14 20 38 50 78 108 134 168 194 224 252 264 282 288 302	387553139700
SPT(16)	1268642651811931667	0 20 24 32 126 134 144 150 176 182 192 200 294 302 306 326	399947284038
STPT(10)	1268642654789259719	0 2 12 14 30 32 48 50 60 62	402924612090
SPT(16)	1268642960304882593	0 6 14 48 74 78 144 200 204 260 326 330 356 390 398 404	708440234964