Prime p₀= 1928147629960854941 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 52 2 64 2 10 2 70 2 4 2 (?)
a_n: 0 2 36 38 90 92 156 158 168 170 240 242 246 248
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: 248
Found by: Landjunge
db: batch=80, k=14, 34 52 64 10 70 4

SPT(16)	1928146583726865539	0 32 38 90 92 102 182 228 272 318 398 408 410 462 468 500	-1046233989402
STPT(10)	1928146630428899687	0 2 42 44 72 74 102 104 144 146	-999531955254
TPT(14)	1928146969986926177	0 2 54 56 60 62 102 104 144 146 150 152 210 212	-659973928764
STPT(10)	1928146969986926231	0 2 6 8 48 50 90 92 96 98	-659973928710
SPT(16)	1928147187195166331	0 30 36 56 92 158 188 210 248 270 300 366 402 422 428 458	-442765688610
STPT(10)	1928147335156027157	0 2 42 44 72 74 102 104 144 146	-294804827784
SPT(16)	1928147829853128643	0 6 18 48 64 90 96 118 126 148 154 180 196 226 238 244	199892273702
STPT(10)	1928147838873548177	0 2 54 56 72 74 90 92 144 146	208912693236
STPT(10)	1928148881824103831	0 2 6 8 48 50 90 92 96 98	1251863248890
SPT(16)	1928149072151202883	0 6 28 30 48 58 66 76 90 100 108 118 136 138 160 166	1442190347942
STPT(10)	1928149231773175517	0 2 30 32 162 164 294 296 324 326	1601812320576