Prime p₀= 1272499541414589869 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 40 2 16 2 28 2 82 2 4 2 (?)
a_n: 0 2 78 80 120 122 138 140 168 170 252 254 258 260
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: 260
Found by: Skivelitis2
db: batch=77, k=14, 76 40 16 28 82 4

SPT(16)	1272498313653884111	0 26 48 98 132 138 146 186 212 252 260 266 300 350 372 398	-1227760705758
SPT(16)	1272498452217299173	0 40 48 54 58 76 94 138 196 240 258 276 280 286 294 334	-1089197290696
TPT(14)	1272498491244296597	0 2 12 14 30 32 54 56 72 74 114 116 162 164	-1050170293272
STPT(10)	1272499061728241441	0 2 6 8 48 50 90 92 96 98	-479686348428
STPT(10)	1272499103518901021	0 2 30 32 78 80 126 128 156 158	-437895688848
SPT(16)	1272499440821845213	0 28 70 84 154 160 234 258 280 304 378 384 454 468 510 538	-100592744656
SPT(16)	1272499742548664897	0 12 60 80 86 116 180 182 210 212 276 306 312 332 380 392	201134075028
STPT(10)	1272500085548103149	0 2 12 14 90 92 168 170 180 182	544133513280
SPT(16)	1272500485045832281	0 22 28 30 42 72 78 82 126 130 136 166 178 180 186 208	943631242412
SPT(16)	1272500616018783113	0 54 78 114 188 230 264 288 320 344 378 420 494 530 554 608	1074604193244
TPT(14)	1272500641767521519	0 2 42 44 108 110 132 134 138 140 168 170 192 194	1100352931650