Prime p₀= 2411952528157354151 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 64 2 40 2 40 2 16 2 (?)
a_n: 0 2 30 32 60 62 126 128 168 170 210 212 228 230
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: 230
Found by: Orange Kid
db: batch=82, k=14, 28 28 64 40 40 16

TPT(14)	2411951027774648177	0 2 30 32 72 74 102 104 180 182 210 212 234 236	-1500382705974
SPT(16)	2411951090912981887	0 34 36 42 54 124 162 244 252 334 372 442 454 460 462 496	-1437244372264
SPT(16)	2411951368011017761	0 10 18 40 78 88 162 168 172 178 252 262 300 322 330 340	-1160146336390
SPT(16)	2411951705512218757	0 6 94 96 130 132 136 154 192 210 214 216 250 252 340 346	-822645135394
SPT(16)	2411951769803307217	0 6 40 120 150 156 160 210 232 282 286 292 322 402 436 442	-758354046934
SPT(16)	2411951957471355163	0 18 106 118 144 184 204 210 244 250 270 310 336 348 436 454	-570685998988
STPT(10)	2411953172658079397	0 2 12 14 42 44 72 74 84 86	644500725246
SPT(16)	2411953241866613509	0 18 28 70 82 172 208 238 294 324 360 450 462 504 514 532	713709259358
STPT(10)	2411953270104807617	0 2 24 26 42 44 60 62 84 86	741947453466
SPT(16)	2411953374252021517	0 10 16 22 36 64 100 102 154 156 192 220 234 240 246 256	846094667366
STPT(10)	2411953414274707361	0 2 36 38 78 80 120 122 156 158	886117353210