Prime p₀= 1074681385413601517 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 40 2 58 2 94 2 82 2 16 2 (?)
a_n: 0 2 12 14 54 56 114 116 210 212 294 296 312 314
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: 314
Found by: arkiss
db: batch=76, k=14, 10 40 58 94 82 16

SPT(18)	1074680284783225349	0 14 32 38 60 74 80 98 104 138 144 162 168 182 204 210 228 242	-1100630376168
SPT(16)	1074680385543519323	0 20 56 60 90 164 206 258 266 318 360 434 464 468 504 524	-999870082194
SPT(16)	1074680537595908681	0 12 20 98 110 120 132 168 182 218 230 240 252 330 338 350	-847817692836
SPT(16)	1074680944055727209	0 24 32 42 62 78 84 104 138 158 164 180 200 210 218 242	-441357874308
SPT(16)	1074681012969853841	0 32 90 102 138 168 180 210 248 278 290 320 356 368 426 458	-372443747676
SPT(16)	1074681051899793389	0 2 8 32 90 102 150 218 282 350 398 410 468 492 498 500	-333513808128
STPT(10)	1074681584703761987	0 2 30 32 42 44 54 56 84 86	199290160470
TPT(14)	1074681692876598929	0 2 48 50 132 134 168 170 222 224 288 290 300 302	307462997412
STPT(10)	1074682527080992829	0 2 18 20 30 32 42 44 60 62	1141667391312
STPT(10)	1074682542888279341	0 2 30 32 78 80 126 128 156 158	1157474677824
SPT(16)	1074682617964397543	0 8 80 90 114 134 138 150 194 206 210 230 254 264 336 344	1232550796026