Prime p₀= 1106324028167268257 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 22 2 58 2 4 2 40 2 46 2 (?)
a_n: 0 2 90 92 114 116 174 176 180 182 222 224 270 272
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: 272
Found by: stoneageman
db: batch=76, k=14, 88 22 58 4 40 46

TPT(14)	1106323698187346489	0 2 42 44 270 272 300 302 342 344 420 422 468 470	-329979921768
SPT(16)	1106323777863078833	0 44 50 78 84 126 144 186 188 230 248 290 296 324 330 374	-250304189424
STPT(10)	1106323931059081907	0 2 30 32 42 44 54 56 84 86	-97108186350
STPT(10)	1106323997272893569	0 2 78 80 120 122 162 164 240 242	-30894374688
STPT(10)	1106324000382668279	0 2 18 20 60 62 102 104 120 122	-27784599978
SPT(16)	1106324013316032283	0 6 70 78 84 90 180 246 328 394 484 490 496 504 568 574	-14851235974
SPT(16)	1106324210847808349	0 14 42 50 62 74 92 104 138 150 168 180 192 200 228 242	182680540092
SPT(16)	1106325136475743819	0 24 70 82 90 192 202 204 220 222 232 334 342 354 400 424	1108308475562
SPT(16)	1106325196303570489	0 28 54 70 94 100 120 124 138 142 162 168 192 208 234 262	1168136302232
STPT(10)	1106325263426863301	0 2 6 8 48 50 90 92 96 98	1235259595044
SPT(16)	1106325451892368229	0 12 20 32 42 48 54 74 78 98 104 110 120 132 140 152	1423725099972