Prime p₀= 1297255651099854221 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 154 2 40 2 40 2 154 2 (?)
a_n: 0 2 156 158 198 200 240 242 396 398
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: 398
Found by: Cruncher Pete
db: batch=77, k=10, 2 154 2 40 2

SPT(16)	1297253929132362197	0 72 90 96 146 156 176 182 294 300 320 330 380 386 404 476	-1721967492024
TPT(14)	1297254153951416231	0 2 30 32 48 50 60 62 126 128 138 140 216 218	-1497148437990
STPT(10)	1297254409640950991	0 2 66 68 168 170 270 272 336 338	-1241458903230
SPT(16)	1297254703809461297	0 20 24 26 32 36 50 54 62 66 80 84 90 92 96 116	-947290392924
SPT(16)	1297255081668449669	0 20 50 72 110 120 128 140 162 174 182 192 230 252 282 302	-569431404552
SPT(16)	1297255193437295461	0 6 28 40 66 88 118 168 220 270 300 322 348 360 382 388	-457662558760
STPT(10)	1297255816550624627	0 2 54 56 72 74 90 92 144 146	165450770406
SPT(16)	1297256103528151003	0 24 54 76 100 130 144 168 226 250 264 294 318 340 370 394	452428296782
STPT(10)	1297256366096883989	0 2 18 20 30 32 42 44 60 62	714997029768
SPT(16)	1297256667815537371	0 42 46 78 96 148 222 246 262 286 360 412 430 462 466 508	1016715683150
SPT(16)	1297256776723740251	0 30 56 68 80 86 108 110 126 128 150 156 168 180 206 236	1125623886030