Prime p₀= 1337544882790585589 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 34 2 52 2 4 2 10 2 40 2 (?)
a_n: 0 2 72 74 108 110 162 164 168 170 180 182 222 224
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: 224
Found by: Theadalus
db: batch=77, k=14, 70 34 52 4 10 40

SPT(16)	1337543442505888747	0 10 22 34 42 54 70 94 192 216 232 244 252 264 276 286	-1440284696842
STPT(10)	1337543681184624911	0 2 6 8 48 50 90 92 96 98	-1201605960678
SPT(16)	1337543753544920683	0 6 40 76 114 126 130 156 238 264 268 280 318 354 388 394	-1129245664906
STPT(10)	1337544309433605101	0 2 6 8 48 50 90 92 96 98	-573356980488
SPT(16)	1337544520182686723	0 8 14 48 74 96 176 204 290 318 398 420 446 480 486 494	-362607898866
SPT(16)	1337544746072049829	0 42 70 208 222 238 250 334 348 432 444 460 474 612 640 682	-136718535760
SPT(16)	1337545259737095853	0 10 48 54 94 114 136 156 178 198 220 240 280 286 324 334	376946510264
SPT(16)	1337545389283401127	0 22 46 76 112 120 124 144 232 252 256 264 300 330 354 376	506492815538
SPT(16)	1337545410606333067	0 24 40 76 90 94 126 144 166 184 216 220 234 270 286 310	527815747478
STPT(10)	1337545418137608857	0 2 60 62 72 74 84 86 144 146	535347023268
SPT(16)	1337545793521604831	0 8 80 90 128 146 198 206 300 308 360 378 416 426 498 506	910731019242