Prime p₀= 1491552300132288257 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 46 2 112 2 4 2 232 2 58 2 (?)
a_n: 0 2 42 44 90 92 204 206 210 212 444 446 504 506
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: 506
Found by: vinn@[CNT]
db: batch=78, k=14, 40 46 112 4 232 58

SPT(16)	1491551393638245253	0 88 100 130 144 174 264 276 328 340 430 460 474 504 516 604	-906494043004
SPT(16)	1491551636432218481	0 26 42 60 80 86 128 138 170 180 222 228 248 266 282 308	-663700069776
STPT(12)	1491551748398992079	0 2 18 20 42 44 48 50 72 74 90 92	-551733296178
TPT(14)	1491551788789717901	0 2 36 38 78 80 108 110 138 140 198 200 360 362	-511342570356
STPT(10)	1491552148853072387	0 2 42 44 72 74 102 104 144 146	-151279215870
SPT(16)	1491552184033160657	0 2 6 24 102 146 150 174 182 206 210 254 332 350 354 356	-116099127600
STPT(10)	1491552440254624511	0 2 30 32 78 80 126 128 156 158	140122336254
STPT(10)	1491552587768467097	0 2 30 32 42 44 54 56 84 86	287636178840
STPT(10)	1491553420094702561	0 2 36 38 78 80 120 122 156 158	1119962414304
SPT(16)	1491553574816053871	0 6 12 30 38 42 50 66 152 168 176 180 188 206 212 218	1274683765614
SPT(16)	1491553984569543959	0 50 60 98 158 162 168 182 240 254 260 264 324 362 372 422	1684437255702