Prime p₀= 1241058651185129717 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 40 2 94 2 28 2 148 2 88 2 (?)
a_n: 0 2 12 14 54 56 150 152 180 182 330 332 420 422
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: 422
Found by: Cruncher Pete
db: batch=77, k=14, 10 40 94 28 148 88

STPT(12)	1241058085966037639	0 2 60 62 102 104 108 110 150 152 210 212	-565219092078
SPT(16)	1241058179910434533	0 36 40 64 70 76 180 196 294 310 414 420 426 450 454 490	-471274695184
SPT(16)	1241058262305771017	0 14 26 42 54 80 150 162 194 206 276 302 314 330 342 356	-388879358700
SPT(16)	1241058385555732067	0 2 24 30 44 102 120 122 252 254 272 330 344 350 372 374	-265629397650
TPT(14)	1241058391542707147	0 2 54 56 60 62 90 92 132 134 174 176 180 182	-259642422570
STPT(10)	1241058467437622159	0 2 18 20 30 32 42 44 60 62	-183747507558
SPT(18)	1241058730061306371	0 42 66 108 166 178 180 232 238 300 306 358 360 372 430 472 496 538	78876176654
SPT(16)	1241058825999288301	0 10 40 66 76 82 90 96 166 172 180 186 196 222 252 262	174814158584
SPT(16)	1241059024555068737	0 20 30 72 96 102 152 264 272 384 434 440 464 506 516 536	373369939020
SPT(16)	1241059152302149049	0 8 72 122 182 200 204 228 434 458 462 480 540 590 654 662	501117019332
SPT(16)	1241059222231369939	0 24 28 54 82 114 124 132 160 168 178 210 238 264 268 292	571046240222