Prime p₀= 2756239221573666077 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 112 2 94 2 22 2 28 2 58 2 (?)
a_n: 0 2 60 62 174 176 270 272 294 296 324 326 384 386
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: 386
Found by: JayPi
db: batch=82, k=14, 58 112 94 22 28 58

SPT(16)	2756237912455111631	0 2 18 26 56 66 68 150 158 240 242 252 282 290 306 308	-1309118554446
TPT(14)	2756238002772943277	0 2 24 26 30 32 84 86 114 116 210 212 252 254	-1218800722800
STPT(10)	2756238461615263577	0 2 30 32 42 44 54 56 84 86	-759958402500
STPT(10)	2756238862916090309	0 2 18 20 30 32 42 44 60 62	-358657575768
STPT(10)	2756239056870988217	0 2 12 14 42 44 72 74 84 86	-164702677860
SPT(16)	2756239067906764637	0 14 36 74 92 120 126 134 162 170 176 204 222 260 282 296	-153666901440
SPT(16)	2756239580716795793	0 14 54 60 110 116 156 200 240 284 324 330 380 386 426 440	359143129716
STPT(10)	2756239840090752437	0 2 42 44 102 104 162 164 204 206	618517086360
TPT(14)	2756240242689290087	0 2 84 86 90 92 132 134 162 164 222 224 360 362	1021115624010
TPT(14)	2756240349839641199	0 2 108 110 138 140 162 164 168 170 210 212 252 254	1128265975122
STPT(10)	2756240633951666747	0 2 30 32 72 74 114 116 144 146	1412378000670