Prime p₀= 1279459475727331397 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 28 2 46 2 52 2 154 2 10 2 (?)
a_n: 0 2 42 44 72 74 120 122 174 176 330 332 342 344
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: 344
Found by: X_FISH
db: batch=77, k=14, 40 28 46 52 154 10

SPT(16)	1279458678160665073	0 4 16 30 60 66 84 100 114 130 148 154 184 198 210 214	-797566666324
SPT(16)	1279458969987624773	0 8 26 36 74 98 110 116 138 144 156 180 218 228 246 254	-505739706624
SPT(16)	1279458987268223791	0 12 22 40 46 52 82 102 106 126 156 162 168 186 196 208	-488459107606
STPT(10)	1279459256761081169	0 2 48 50 90 92 132 134 180 182	-218966250228
STPT(10)	1279459445582489957	0 2 30 32 60 62 90 92 120 122	-30144841440
SPT(16)	1279459467705302519	0 20 42 48 62 132 138 158 252 272 278 348 362 368 390 410	-8022028878
TPT(14)	1279459560050139491	0 2 6 8 90 92 168 170 210 212 240 242 330 332	84322808094
SPT(16)	1279459660018086091	0 10 48 72 100 132 156 168 370 382 406 438 466 490 528 538	184290754694
SPT(16)	1279459798188849061	0 10 70 148 180 186 228 270 316 358 400 406 438 516 576 586	322461517664
STPT(10)	1279459828824522641	0 2 6 8 18 20 30 32 36 38	353097191244
STPT(10)	1279460180196837017	0 2 30 32 42 44 54 56 84 86	704469505620