Prime p₀= 2240038322092637531 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 52 2 58 2 16 2 76 2 10 2 (?)
a_n: 0 2 36 38 90 92 150 152 168 170 246 248 258 260
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: JayPi
db: batch=81, k=14, 34 52 58 16 76 10

TPT(14)	2240037831431887559	0 2 42 44 78 80 90 92 210 212 282 284 372 374	-490660749972
SPT(16)	2240038085108816063	0 14 18 56 96 108 164 180 224 240 296 308 348 386 390 404	-236983821468
STPT(10)	2240038099154148047	0 2 42 44 72 74 102 104 144 146	-222938489484
SPT(16)	2240038109159832673	0 54 96 108 136 138 154 156 178 180 196 198 226 238 280 334	-212932804858
STPT(10)	2240038209213745649	0 2 42 44 60 62 78 80 120 122	-112878891882
STPT(10)	2240038212055159301	0 2 30 32 60 62 90 92 120 122	-110037478230
SPT(16)	2240038734815110157	0 32 54 60 62 84 104 132 152 180 200 222 224 230 252 284	412722472626
SPT(16)	2240038748704641557	0 26 36 72 80 182 192 260 366 434 444 546 554 590 600 626	426612004026
STPT(10)	2240038942003807907	0 2 30 32 42 44 54 56 84 86	619911170376
SPT(16)	2240038948254356677	0 10 36 46 96 120 126 172 204 250 256 280 330 340 366 376	626161719146
SPT(16)	2240039692481020489	0 30 34 48 78 94 100 112 120 132 138 154 184 198 202 232	1370388382958