Prime p₀= 1337119711829698439 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 16 2 40 2 4 2 58 2 22 2 (?)
a_n: 0 2 42 44 60 62 102 104 108 110 168 170 192 194
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: 194
Found by: BlackGoose05
db: batch=77, k=14, 40 16 40 4 58 22

SPT(16)	1337118716845598719	0 40 42 58 160 172 198 204 208 214 240 252 354 370 372 412	-994984099720
SPT(16)	1337119219582205947	0 34 42 52 82 90 96 112 114 130 136 144 174 184 192 226	-492247492492
SPT(16)	1337119266314226971	0 8 20 50 80 86 90 92 156 158 162 168 198 228 240 248	-445515471468
STPT(10)	1337119466015767307	0 2 30 32 42 44 54 56 84 86	-245813931132
SPT(16)	1337119503095406839	0 8 18 44 54 74 110 128 210 228 264 284 294 320 330 338	-208734291600
STPT(10)	1337119627385760761	0 2 6 8 48 50 90 92 96 98	-84443937678
SPT(16)	1337119862102630747	0 36 50 56 86 122 170 180 182 192 240 276 306 312 326 362	150272932308
TPT(14)	1337119982668123037	0 2 60 62 72 74 180 182 192 194 222 224 294 296	270838424598
STPT(12)	1337120372720665007	0 2 12 14 54 56 60 62 102 104 114 116	660890966568
SPT(16)	1337120498253112399	0 4 22 28 78 94 102 142 150 190 198 214 264 270 288 292	786423413960
SPT(16)	1337120614482637307	0 30 60 72 140 152 182 192 254 264 294 306 374 386 416 446	902652938868