Prime p₀= 2174269903158564389 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 64 2 40 2 70 2 58 2 4 2 (?)
a_n: 0 2 12 14 78 80 120 122 192 194 252 254 258 260
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: 260
Found by: ginga
db: batch=81, k=14, 10 64 40 70 58 4

STPT(10)	2174268459374916197	0 2 42 44 72 74 102 104 144 146	-1443783648192
STPT(10)	2174269057848464849	0 2 18 20 30 32 42 44 60 62	-845310099540
STPT(10)	2174269095164744267	0 2 30 32 42 44 54 56 84 86	-807993820122
TPT(14)	2174269198791630767	0 2 54 56 72 74 114 116 180 182 192 194 222 224	-704366933622
SPT(16)	2174269556687806483	0 24 28 78 118 180 208 210 244 246 274 336 376 426 430 454	-346470757906
SPT(16)	2174269676645663449	0 28 48 52 54 72 124 142 150 168 220 238 240 244 264 292	-226512900940
SPT(16)	2174270354204325359	0 2 8 68 72 80 132 134 168 170 222 230 234 294 300 302	451045760970
SPT(16)	2174270467676860051	0 6 78 100 136 156 178 186 202 210 232 252 288 310 382 388	564518295662
SPT(16)	2174270791613799293	0 44 114 120 140 174 210 216 254 260 296 330 350 356 426 470	888455234904
SPT(16)	2174270833829345039	0 50 60 84 152 162 182 194 318 330 350 360 428 452 462 512	930670780650
STPT(10)	2174271027170492351	0 2 6 8 48 50 90 92 96 98	1124011927962