Prime p₀= 2250905862520184489 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 22 2 16 2 76 2 28 2 52 2 (?)
a_n: 0 2 48 50 72 74 90 92 168 170 198 200 252 254
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: 254
Found by: JayPi
db: batch=81, k=14, 46 22 16 76 28 52

SPT(16)	2250904511730759481	0 10 16 36 78 88 108 126 130 148 168 178 220 240 246 256	-1350789425008
STPT(10)	2250904712965554101	0 2 30 32 78 80 126 128 156 158	-1149554630388
SPT(16)	2250904749702902269	0 34 54 72 82 142 160 198 214 252 270 330 340 358 378 412	-1112817282220
SPT(16)	2250904854090927233	0 24 38 66 128 134 150 168 176 194 210 216 278 306 320 344	-1008429257256
STPT(10)	2250905154423859667	0 2 24 26 42 44 60 62 84 86	-708096324822
SPT(16)	2250905487354099077	0 20 54 62 66 74 90 102 104 116 132 140 144 152 186 206	-375166085412
SPT(16)	2250906254736462143	0 8 18 44 56 66 74 80 84 90 98 108 120 146 156 164	392216277654
STPT(10)	2250907269208604759	0 2 18 20 30 32 42 44 60 62	1406688420270
TPT(14)	2250907989550084619	0 2 30 32 42 44 60 62 108 110 138 140 198 200	2127029900130
SPT(16)	2250908021885847869	0 18 54 74 138 152 168 194 198 224 240 254 318 338 374 392	2159365663380
SPT(16)	2250908089973516371	0 6 82 90 126 142 160 220 282 342 360 376 412 420 496 502	2227453331882