Prime p₀= 2438505356998548911 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 70 2 28 2 10 2 58 2 46 2 (?)
a_n: 0 2 36 38 108 110 138 140 150 152 210 212 258 260
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: 260
Found by: JayPi
db: batch=82, k=14, 34 70 28 10 58 46

SPT(16)	2438503451307082091	0 38 78 122 126 128 140 150 218 228 240 242 246 290 330 368	-1905691466820
STPT(10)	2438503654590143837	0 2 54 56 72 74 90 92 144 146	-1702408405074
SPT(16)	2438503869618284779	0 48 112 160 168 178 220 240 490 510 552 562 570 618 682 730	-1487380264132
SPT(16)	2438503954060229927	0 2 54 56 92 104 120 132 224 236 252 264 300 302 354 356	-1402938318984
TPT(14)	2438504367057234569	0 2 30 32 60 62 90 92 132 134 198 200 240 242	-989941314342
SPT(16)	2438504580399879377	0 14 24 66 80 84 116 126 200 210 242 246 260 302 312 326	-776598669534
STPT(10)	2438505507968841107	0 2 24 26 42 44 60 62 84 86	150970292196
SPT(16)	2438505862637020409	0 24 84 90 102 104 140 192 200 252 288 290 302 308 368 392	505638471498
SPT(16)	2438505865735272023	0 6 18 26 48 110 144 146 228 230 264 326 348 356 368 374	508736723112
SPT(16)	2438506010818314571	0 36 40 58 60 70 96 102 106 112 138 148 150 168 172 208	653819765660
STPT(10)	2438506215282532397	0 2 30 32 60 62 90 92 120 122	858283983486