Prime p₀= 1925722389417688229 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 28 2 16 2 40 2 94 2 40 2 (?)
a_n: 0 2 12 14 42 44 60 62 102 104 198 200 240 242
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: Landjunge
db: batch=80, k=14, 10 28 16 40 94 40

TPT(14)	1925721945674371487	0 2 24 26 30 32 54 56 60 62 102 104 144 146	-443743316742
STPT(10)	1925721983866429919	0 2 18 20 30 32 42 44 60 62	-405551258310
STPT(10)	1925722117668277931	0 2 30 32 60 62 90 92 120 122	-271749410298
STPT(10)	1925722211710445117	0 2 54 56 72 74 90 92 144 146	-177707243112
SPT(16)	1925722228748831263	0 34 36 66 78 88 144 148 156 160 216 226 238 268 270 304	-160668856966
STPT(10)	1925722336214867987	0 2 30 32 42 44 54 56 84 86	-53202820242
SPT(16)	1925722470831825517	0 4 12 46 52 82 180 210 256 286 384 414 420 454 462 466	81414137288
SPT(16)	1925722608739808999	0 24 44 50 120 138 150 164 168 182 194 212 282 288 308 332	219322120770
SPT(16)	1925722818779941777	0 36 40 72 84 114 220 222 334 336 442 472 484 516 520 556	429362253548
SPT(16)	1925723356911920479	0 4 30 58 64 90 138 160 168 190 238 264 270 298 324 328	967494232250
SPT(16)	1925723398441520749	0 10 30 40 82 162 180 210 220 250 268 348 390 400 420 430	1009023832520