Prime p₀= 2678691234182669339 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 10 2 40 2 94 2 82 2 16 2 (?)
a_n: 0 2 18 20 30 32 72 74 168 170 252 254 270 272
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: [SG-FC] hl
db: batch=82, k=14, 16 10 40 94 82 16

SPT(16)	2678689039041524633	0 14 20 24 60 98 116 138 146 168 186 224 260 264 270 284	-2195141144706
STPT(10)	2678689236492294209	0 2 30 32 60 62 90 92 120 122	-1997690375130
STPT(10)	2678689250166914351	0 2 6 8 48 50 90 92 96 98	-1984015754988
SPT(16)	2678689528970184461	0 32 42 62 78 90 102 162 278 338 350 362 378 398 408 440	-1705212484878
STPT(10)	2678690192843311037	0 2 30 32 42 44 54 56 84 86	-1041339358302
SPT(16)	2678690242332846761	0 8 66 68 78 92 116 126 302 312 336 350 360 362 420 428	-991849822578
STPT(10)	2678691846646401371	0 2 36 38 78 80 120 122 156 158	612463732032
SPT(16)	2678691883881796621	0 10 18 40 60 66 150 166 180 196 280 286 306 328 336 346	649699127282
SPT(16)	2678691895761992629	0 24 28 54 58 84 114 142 180 208 238 264 268 294 298 322	661579323290
STPT(10)	2678692342080901871	0 2 6 8 48 50 90 92 96 98	1107898232532
SPT(16)	2678692825581291949	0 22 28 70 108 118 132 160 240 268 282 292 330 372 378 400	1591398622610