Prime p₀= 2764308440997093941 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 118 2 4 2 10 2 16 2 52 2 (?)
a_n: 0 2 30 32 150 152 156 158 168 170 186 188 240 242
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: JayPi
db: batch=82, k=14, 28 118 4 10 16 52

SPT(16)	2764306531001512837	0 40 42 72 82 114 124 126 130 132 142 174 184 214 216 256	-1909995581104
STPT(12)	2764307176056331097	0 2 24 26 84 86 90 92 150 152 174 176	-1264940762844
SPT(16)	2764307376045069931	0 60 70 76 88 90 108 112 156 160 178 180 192 198 208 268	-1064952024010
STPT(10)	2764307873755177109	0 2 42 44 90 92 138 140 180 182	-567241916832
SPT(16)	2764307990351401927	0 4 24 30 52 66 72 102 124 154 160 174 196 202 222 226	-450645692014
SPT(16)	2764308333900150949	0 60 94 114 174 190 202 252 262 312 324 340 400 420 454 514	-107096942992
SPT(16)	2764308461411911657	0 46 60 66 84 90 126 136 210 220 256 262 280 286 300 346	20414817716
TPT(14)	2764308551666344097	0 2 114 116 162 164 174 176 270 272 282 284 312 314	110669250156
STPT(10)	2764308697448369711	0 2 6 8 48 50 90 92 96 98	256451275770
SPT(16)	2764309290774591121	0 22 46 52 58 108 132 178 210 256 280 330 336 342 366 388	849777497180
TPT(14)	2764309509558713087	0 2 24 26 54 56 402 404 444 446 450 452 474 476	1068561619146