Prime p₀= 2549578397052675731 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 46 2 40 2 118 2 34 2 28 2 (?)
a_n: 0 2 30 32 78 80 120 122 240 242 276 278 306 308
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: 308
Found by: [SG-FC] hl
db: batch=82, k=14, 28 46 40 118 34 28

STPT(10)	2549577596756702399	0 2 18 20 30 32 42 44 60 62	-800295973332
SPT(16)	2549577761954746001	0 6 50 90 152 156 176 188 240 252 272 276 338 378 422 428	-635097929730
TPT(14)	2549577953387560001	0 2 18 20 90 92 96 98 126 128 168 170 240 242	-443665115730
STPT(10)	2549578116878237909	0 2 48 50 60 62 72 74 120 122	-280174437822
STPT(10)	2549578201122120359	0 2 78 80 120 122 162 164 240 242	-195930555372
SPT(16)	2549578202689269217	0 34 46 82 90 96 100 120 166 186 190 196 204 240 252 286	-194363406514
SPT(16)	2549578736733555367	0 12 40 52 70 96 100 136 210 246 250 276 294 306 334 346	339680879636
STPT(10)	2549578759385744687	0 2 30 32 42 44 54 56 84 86	362333068956
STPT(10)	2549579241244654481	0 2 30 32 78 80 126 128 156 158	844191978750
STPT(10)	2549579374565054957	0 2 30 32 72 74 114 116 144 146	977512379226
SPT(16)	2549579663921293879	0 42 54 64 88 94 124 130 162 168 198 204 228 238 250 292	1266868618148