Prime p₀= 1369398510012651359 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 88 2 34 2 88 2 88 2 40 2 (?)
a_n: 0 2 42 44 132 134 168 170 258 260 348 350 390 392
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: 392
Found by: stoneageman
db: batch=77, k=14, 40 88 34 88 88 40

STPT(10)	1369397834576469791	0 2 30 32 60 62 90 92 120 122	-675436181568
SPT(16)	1369397860774879483	0 58 60 84 114 186 216 228 256 268 298 370 400 424 426 484	-649237771876
SPT(16)	1369397979727199053	0 10 30 48 58 76 100 108 136 144 168 186 196 214 234 244	-530285452306
SPT(16)	1369398449987257331	0 12 68 78 90 116 162 182 186 206 252 278 290 300 356 368	-60025394028
SPT(16)	1369398484294696673	0 48 54 68 90 98 174 234 254 314 390 398 420 434 440 488	-25717954686
SPT(16)	1369398485482816037	0 14 30 32 36 84 86 96 200 210 212 260 264 266 282 296	-24529835322
SPT(16)	1369398919979441231	0 12 26 38 80 90 122 156 182 216 248 258 300 312 326 338	409966789872
SPT(16)	1369399233334677829	0 18 114 120 162 172 174 204 208 238 240 250 292 298 394 412	723322026470
SPT(16)	1369399328938224037	0 6 34 42 60 94 126 136 150 160 192 226 244 252 280 286	818925572678
STPT(10)	1369399495099583999	0 2 18 20 30 32 42 44 60 62	985086932640
TPT(14)	1369399831288196639	0 2 72 74 192 194 222 224 240 242 378 380 450 452	1321275545280