Prime p₀= 1264556494245697031 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 34 2 52 2 46 2 250 2 34 2 (?)
a_n: 0 2 30 32 66 68 120 122 168 170 420 422 456 458
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 458
Found by: xii5ku
db: batch=77, k=14, 28 34 52 46 250 34

SPT(16)	1264554903183824939	0 30 42 68 92 98 128 150 170 192 222 228 252 278 290 320	-1591061872092
STPT(10)	1264554971979107951	0 2 6 8 18 20 30 32 36 38	-1522266589080
STPT(10)	1264555085429032919	0 2 18 20 30 32 42 44 60 62	-1408816664112
STPT(10)	1264555511892757499	0 2 18 20 30 32 42 44 60 62	-982352939532
SPT(16)	1264555841688816067	0 6 30 34 42 54 70 72 94 96 112 124 132 136 160 166	-652556880964
STPT(10)	1264556071947724781	0 2 36 38 78 80 120 122 156 158	-422297972250
TPT(14)	1264556935010102729	0 2 210 212 312 314 450 452 582 584 618 620 648 650	440764405698
SPT(16)	1264557003354514973	0 24 26 50 80 104 108 126 188 206 210 234 264 288 290 314	509108817942
SPT(16)	1264557152477062033	0 58 76 88 174 184 196 240 244 288 300 310 396 408 426 484	658231365002
SPT(16)	1264557200238129799	0 18 60 70 82 88 102 108 124 130 144 150 162 172 214 232	705992432768
TPT(14)	1264557252302684099	0 2 60 62 138 140 198 200 210 212 348 350 420 422	758056987068