Prime p₀= 1297254409640950991 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 64 2 100 2 100 2 64 2 (?)
a_n: 0 2 66 68 168 170 270 272 336 338
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: 338
Found by: Cruncher Pete
db: batch=77, k=10, 2 64 2 100 2

STPT(10)	1297253323428495281	0 2 30 32 60 62 90 92 120 122	-1086212455710
SPT(16)	1297253487606530539	0 24 30 40 54 70 112 114 148 150 192 208 222 232 238 262	-922034420452
SPT(16)	1297253815291459999	0 22 54 70 102 124 130 154 288 312 318 340 372 388 420 442	-594349490992
TPT(14)	1297253887711617917	0 2 42 44 144 146 180 182 210 212 252 254 264 266	-521929333074
SPT(16)	1297253929132362197	0 72 90 96 146 156 176 182 294 300 320 330 380 386 404 476	-480508588794
TPT(14)	1297254153951416231	0 2 30 32 48 50 60 62 126 128 138 140 216 218	-255689534760
SPT(16)	1297254703809461297	0 20 24 26 32 36 50 54 62 66 80 84 90 92 96 116	294168510306
SPT(16)	1297255081668449669	0 20 50 72 110 120 128 140 162 174 182 192 230 252 282 302	672027498678
SPT(16)	1297255193437295461	0 6 28 40 66 88 118 168 220 270 300 322 348 360 382 388	783796344470
STPT(10)	1297255651099854221	0 2 156 158 198 200 240 242 396 398	1241458903230
STPT(10)	1297255816550624627	0 2 54 56 72 74 90 92 144 146	1406909673636