Prime p₀= 2386294932425542079 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 16 2 40 2 28 2 4 2 130 2 (?)
a_n: 0 2 42 44 60 62 102 104 132 134 138 140 270 272
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: 272
Found by: MechWarrior
db: batch=81, k=14, 40 16 40 28 4 130

SPT(16)	2386293728572263527	0 2 12 50 134 164 180 182 444 446 462 492 576 614 624 626	-1203853278552
SPT(16)	2386293825340083667	0 12 16 72 82 106 120 156 196 232 246 270 280 336 340 352	-1107085458412
SPT(16)	2386293909590313287	0 12 56 66 90 132 164 174 182 192 224 266 290 300 344 356	-1022835228792
STPT(10)	2386293945956887751	0 2 36 38 78 80 120 122 156 158	-986468654328
TPT(14)	2386294102506020801	0 2 48 50 66 68 78 80 90 92 96 98 150 152	-829919521278
SPT(16)	2386294354481268271	0 10 60 88 120 126 130 150 166 186 190 196 228 256 306 316	-577944273808
STPT(10)	2386295349683636777	0 2 12 14 42 44 72 74 84 86	417258094698
SPT(16)	2386295443074882839	0 48 62 84 104 114 140 152 240 252 278 288 308 330 344 392	510649340760
TPT(14)	2386296171040913399	0 2 168 170 240 242 468 470 582 584 648 650 750 752	1238615371320
SPT(16)	2386296187519806269	0 8 12 50 60 74 114 122 240 248 288 302 312 350 354 362	1255094264190
STPT(10)	2386296842256863477	0 2 30 32 42 44 54 56 84 86	1909831321398