Prime p₀= 1377305405106712841 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 64 2 52 2 28 2 28 2 28 2 (?)
a_n: 0 2 60 62 126 128 180 182 210 212 240 242 270 272
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: 272
Found by: emoga
db: batch=77, k=14, 58 64 52 28 28 28

STPT(10)	1377303654726102557	0 2 24 26 42 44 60 62 84 86	-1750380610284
SPT(16)	1377304665287921621	0 170 192 206 236 242 248 252 296 300 306 312 342 356 378 548	-739818791220
STPT(10)	1377304738903301189	0 2 18 20 60 62 102 104 120 122	-666203411652
STPT(10)	1377304972322607707	0 2 30 32 42 44 54 56 84 86	-432784105134
STPT(10)	1377305114679762407	0 2 60 62 72 74 84 86 144 146	-290426950434
SPT(16)	1377305183383315093	0 18 66 96 108 138 174 204 220 250 286 316 328 358 406 424	-221723397748
STPT(12)	1377305468350361531	0 2 60 62 90 92 126 128 156 158 216 218	63243648690
STPT(10)	1377305599801738499	0 2 12 14 90 92 168 170 180 182	194695025658
SPT(16)	1377305949941571743	0 20 30 56 90 98 230 240 266 276 408 416 450 476 486 506	544834858902
TPT(14)	1377306250454344361	0 2 30 32 138 140 240 242 270 272 348 350 396 398	845347631520
STPT(10)	1377306355078707797	0 2 30 32 120 122 210 212 240 242	949971994956