Prime p₀= 1364904408561276419 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 106 2 130 2 28 2 34 2 40 2 (?)
a_n: 0 2 72 74 180 182 312 314 342 344 378 380 420 422
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: 422
Found by: stoneageman
db: batch=77, k=14, 70 106 130 28 34 40

STPT(10)	1364903328484121927	0 2 12 14 72 74 132 134 144 146	-1080077154492
SPT(16)	1364903414492073103	0 6 40 148 186 228 244 258 286 300 316 358 396 504 538 544	-994069203316
STPT(10)	1364903577832895069	0 2 12 14 30 32 48 50 60 62	-830728381350
SPT(16)	1364903828147523061	0 12 30 46 76 100 102 118 150 166 168 192 222 238 256 268	-580413753358
SPT(16)	1364904176342854603	0 54 124 150 184 208 240 280 348 388 420 444 478 504 574 628	-232218421816
SPT(16)	1364904359550957779	0 12 54 60 74 92 98 110 192 204 210 228 242 248 290 302	-49010318640
STPT(10)	1364904482039579357	0 2 30 32 60 62 90 92 120 122	73478302938
STPT(10)	1364904853354189487	0 2 42 44 132 134 222 224 264 266	444792913068
SPT(16)	1364904952933464821	0 8 20 68 72 92 138 140 168 170 216 236 240 288 300 308	544372188402
STPT(10)	1364905072975877261	0 2 6 8 48 50 90 92 96 98	664414600842
SPT(16)	1364905087813850719	0 22 30 54 90 114 118 132 190 204 208 232 268 292 300 322	679252574300