Prime p₀= 1265297699696918981 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 4 2 22 2 16 2 40 2 34 2 (?)
a_n: 0 2 30 32 36 38 60 62 78 80 120 122 156 158
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: 158
Found by: xii5ku
db: batch=77, k=14, 28 4 22 16 40 34

SPT(16)	1265296795244622131	0 12 32 80 138 180 210 228 272 290 320 362 420 468 488 500	-904452296850
SPT(16)	1265296884003611171	0 20 30 56 72 110 140 212 276 348 378 416 432 458 468 488	-815693307810
STPT(10)	1265296898500764287	0 2 30 32 72 74 114 116 144 146	-801196154694
TPT(14)	1265297037460991651	0 2 18 20 138 140 156 158 180 182 240 242 270 272	-662235927330
STPT(10)	1265297157848058497	0 2 30 32 42 44 54 56 84 86	-541848860484
STPT(10)	1265297304090314819	0 2 18 20 30 32 42 44 60 62	-395606604162
STPT(10)	1265297856241532261	0 2 36 38 78 80 120 122 156 158	156544613280
SPT(16)	1265298206886625183	0 6 16 18 28 60 70 90 136 156 166 198 208 210 220 226	507189706202
SPT(16)	1265298336430226639	0 38 50 78 80 90 134 150 188 204 248 258 260 288 300 338	636733307658
SPT(16)	1265298534489112087	0 16 40 90 132 160 172 196 240 264 276 304 346 396 420 436	834792193106
SPT(16)	1265298719408973311	0 12 30 98 108 122 126 152 156 182 186 200 210 278 296 308	1019712054330