Prime p₀= 2624538831942142277 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 28 2 136 2 70 2 136 2 16 2 (?)
a_n: 0 2 24 26 54 56 192 194 264 266 402 404 420 422
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: 422
Found by: biodoc
db: batch=82, k=14, 22 28 136 70 136 16

STPT(10)	2624537304410388077	0 2 60 62 72 74 84 86 144 146	-1527531754200
STPT(10)	2624537500228535327	0 2 42 44 72 74 102 104 144 146	-1331713606950
SPT(16)	2624537721497714303	0 54 78 108 114 128 134 194 210 270 276 290 296 326 350 404	-1110444427974
TPT(14)	2624537768231297927	0 2 24 26 72 74 192 194 282 284 360 362 372 374	-1063710844350
STPT(10)	2624538626396687849	0 2 30 32 60 62 90 92 120 122	-205545454428
STPT(10)	2624538740581823627	0 2 42 44 72 74 102 104 144 146	-91360318650
STPT(10)	2624539122337344761	0 2 6 8 48 50 90 92 96 98	290395202484
SPT(16)	2624539795784582267	0 14 42 56 62 114 152 176 180 204 242 294 300 314 342 356	963842439990
STPT(10)	2624540088239568041	0 2 6 8 48 50 90 92 96 98	1256297425764
STPT(10)	2624540540783076239	0 2 42 44 60 62 78 80 120 122	1708840933962
SPT(16)	2624540799824163923	0 6 14 20 50 98 110 134 180 204 216 264 294 300 308 314	1967882021646