Prime p₀= 1377253646673760001 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 166 2 16 2 52 2 34 2 88 2 10 2 (?)
a_n: 0 2 168 170 186 188 240 242 276 278 366 368 378 380
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: 380
Found by: emoga
db: batch=77, k=14, 166 16 52 34 88 10

SPT(16)	1377252086858388373	0 6 40 78 90 96 106 120 154 168 178 184 196 234 268 274	-1559815371628
STPT(10)	1377252119657665091	0 2 36 38 78 80 120 122 156 158	-1527016094910
STPT(10)	1377252138771558701	0 2 36 38 78 80 120 122 156 158	-1507902201300
STPT(10)	1377252161990347829	0 2 18 20 30 32 42 44 60 62	-1484683412172
SPT(16)	1377252525534738673	0 66 90 130 144 160 186 204 226 244 270 286 300 340 364 430	-1121139021328
STPT(10)	1377252969519998447	0 2 30 32 60 62 90 92 120 122	-677153761554
SPT(13)	1377253692481542817	0 36 42 102 132 210 216 222 300 330 390 396 432	45807782816
STPT(10)	1377254005865221241	0 2 6 8 18 20 30 32 36 38	359191461240
STPT(10)	1377254778534712349	0 2 18 20 30 32 42 44 60 62	1131860952348
SPT(20)	1377255072926109161	0 38 42 68 92 108 152 158 180 222 248 290 312 318 362 378 402 428 432 470	1426252349160
STPT(10)	1377255183499565339	0 2 12 14 30 32 48 50 60 62	1536825805338