Prime p₀= 1376588194685791931 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 136 2 16 2 22 2 16 2 58 2 46 2 (?)
a_n: 0 2 138 140 156 158 180 182 198 200 258 260 306 308
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-2W]Kurzer
db: batch=77, k=14, 136 16 22 16 58 46

STPT(10)	1376587533284942357	0 2 30 32 42 44 54 56 84 86	-661400849574
SPT(16)	1376587698536141887	0 52 60 66 70 82 112 124 132 144 174 186 190 196 204 256	-496149650044
SPT(20)	1376587857550020851	0 30 32 36 60 66 86 102 120 150 218 248 266 282 302 308 332 336 338 368	-337135771080
TPT(14)	1376587872613630421	0 2 180 182 288 290 318 320 336 338 378 380 426 428	-322072161510
TPT(14)	1376588124946761281	0 2 36 38 78 80 90 92 156 158 228 230 300 302	-69739030650
STPT(10)	1376588144145610211	0 2 6 8 48 50 90 92 96 98	-50540181720
SPT(16)	1376588307537356279	0 32 44 80 92 108 114 150 182 218 224 240 252 288 300 332	112851564348
SPT(16)	1376588429066052689	0 42 50 84 90 114 152 222 260 330 368 392 398 432 440 482	234380260758
SPT(16)	1376588455086571049	0 24 30 42 98 122 134 164 198 228 240 264 320 332 338 362	260400779118
SPT(16)	1376588597757439897	0 34 46 84 94 96 120 154 186 220 244 246 256 294 306 340	403071647966
STPT(10)	1376588658211143059	0 2 42 44 90 92 138 140 180 182	463525351128