Prime p₀= 1272018565519201601 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 100 2 106 2 10 2 76 2 22 2 (?)
a_n: 0 2 36 38 138 140 246 248 258 260 336 338 360 362
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: 362
Found by: HenkM
db: batch=77, k=14, 34 100 106 10 76 22

STPT(10)	1272017638392790967	0 2 12 14 42 44 72 74 84 86	-927126410634
SPT(16)	1272017768200827811	0 22 60 76 118 120 150 172 216 238 268 270 312 328 366 388	-797318373790
TPT(14)	1272017896635575237	0 2 30 32 42 44 54 56 120 122 222 224 252 254	-668883626364
SPT(16)	1272017969087314979	0 8 38 50 54 78 84 98 144 158 164 188 192 204 234 242	-596431886622
STPT(10)	1272018530595075617	0 2 54 56 132 134 210 212 264 266	-34924125984
SPT(16)	1272018562167564691	0 42 60 72 88 90 100 142 156 198 208 210 226 238 256 298	-3351636910
STPT(10)	1272019292253952169	0 2 12 14 90 92 168 170 180 182	726734750568
STPT(10)	1272019349719042667	0 2 30 32 42 44 54 56 84 86	784199841066
SPT(16)	1272019443515454467	0 60 72 126 140 164 182 186 260 264 282 306 320 374 386 446	877996252866
SPT(16)	1272019536219051769	0 18 78 84 90 100 102 118 144 160 162 172 178 184 244 262	970699850168
SPT(16)	1272019639978612687	0 30 54 70 94 114 142 166 180 204 232 252 276 292 316 346	1074459411086