Prime p₀= 1236545189536371017 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 112 2 4 2 10 2 10 2 28 2 64 2 (?)
a_n: 0 2 114 116 120 122 132 134 144 146 174 176 240 242
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: 242
Found by: MarkRBright
db: batch=77, k=14, 112 4 10 10 28 64

SPT(16)	1236543357656140889	0 18 20 42 62 80 108 144 188 224 252 270 290 312 314 332	-1831880230128
STPT(10)	1236543519989292761	0 2 36 38 78 80 120 122 156 158	-1669547078256
STPT(10)	1236543828238975967	0 2 42 44 72 74 102 104 144 146	-1361297395050
SPT(16)	1236544170369397979	0 24 38 48 78 134 182 248 354 420 468 524 554 564 578 602	-1019166973038
SPT(16)	1236544691259897979	0 24 40 60 102 120 142 144 148 150 172 190 232 252 268 292	-498276473038
STPT(10)	1236544720305431891	0 2 6 8 48 50 90 92 96 98	-469230939126
STPT(10)	1236545721733469627	0 2 30 32 42 44 54 56 84 86	532197098610
SPT(16)	1236545781849814223	0 14 36 50 56 60 98 126 128 156 194 198 204 218 240 254	592313443206
STPT(10)	1236546160138552997	0 2 24 26 42 44 60 62 84 86	970602181980
STPT(10)	1236546197002734881	0 2 6 8 48 50 90 92 96 98	1007466363864
TPT(14)	1236546511926254729	0 2 72 74 102 104 132 134 168 170 180 182 228 230	1322389883712