Prime p₀= 2737443355880637419 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 46 2 16 2 58 2 22 2 16 2 (?)
a_n: 0 2 72 74 120 122 138 140 198 200 222 224 240 242
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: 242
Found by: [SG-FC] hl
db: batch=82, k=14, 70 46 16 58 22 16

SPT(16)	2737440820671824203	0 28 46 88 150 186 216 228 268 280 310 346 408 450 468 496	-2535208813216
STPT(10)	2737440929460152471	0 2 6 8 48 50 90 92 96 98	-2426420484948
STPT(10)	2737440944995628699	0 2 18 20 60 62 102 104 120 122	-2410885008720
SPT(16)	2737441225661811817	0 40 46 126 142 156 184 186 220 222 250 264 280 360 366 406	-2130218825602
SPT(16)	2737441552701587623	0 6 48 66 78 84 106 108 136 138 160 166 178 196 238 244	-1803179049796
STPT(10)	2737443027042504689	0 2 18 20 30 32 42 44 60 62	-328838132730
SPT(16)	2737443529125698059	0 10 52 64 72 94 120 132 172 184 210 232 240 252 294 304	173245060640
STPT(10)	2737443701938118321	0 2 36 38 78 80 120 122 156 158	346057480902
SPT(16)	2737443845561640881	0 8 32 68 108 120 152 168 260 276 308 320 360 396 420 428	489681003462
SPT(16)	2737443978063698347	0 22 30 36 114 120 126 142 174 190 196 202 280 286 294 316	622183060928
SPT(16)	2737444639448738291	0 8 18 20 36 98 128 186 242 300 330 392 408 410 420 428	1283568100872