Prime p₀= 1265377533817699871 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 28 2 76 2 58 2 40 2 10 2 (?)
a_n: 0 2 18 20 48 50 126 128 186 188 228 230 240 242
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: 242
Found by: HenkM
db: batch=77, k=14, 16 28 76 58 40 10

STPT(10)	1265375709951419579	0 2 42 44 60 62 78 80 120 122	-1823866280292
TPT(14)	1265375764127320511	0 2 180 182 210 212 246 248 318 320 330 332 360 362	-1769690379360
SPT(16)	1265375929326295247	0 24 44 60 62 66 74 126 170 222 230 234 236 252 272 296	-1604491404624
SPT(16)	1265376547500214739	0 72 122 132 174 210 252 282 302 332 374 410 452 462 512 584	-986317485132
SPT(16)	1265377364864308841	0 18 56 66 80 90 98 110 138 150 158 168 182 192 230 248	-168953391030
SPT(16)	1265377379248307191	0 18 28 52 60 66 102 132 136 166 202 208 216 240 250 268	-154569392680
SPT(16)	1265377802426469607	0 40 82 192 220 232 234 282 304 352 354 366 394 504 546 586	268608769736
SPT(16)	1265378060430526177	0 6 22 42 64 84 160 196 210 246 322 342 364 384 400 406	526612826306
STPT(10)	1265378063606442131	0 2 90 92 150 152 210 212 300 302	529788742260
SPT(16)	1265378315355872461	0 28 30 52 90 130 160 168 220 228 258 298 336 358 360 388	781538172590
SPT(18)	1265378338362498359	0 20 24 42 80 102 104 132 158 174 200 228 230 252 290 308 312 332	804544798488