Prime p₀= 2726523934510315139 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 34 2 22 2 28 2 64 2 58 2 (?)
a_n: 0 2 12 14 48 50 72 74 102 104 168 170 228 230
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: 230
Found by: [SG-FC] hl
db: batch=82, k=14, 10 34 22 28 64 58

SPT(16)	2726522462271462521	0 6 32 38 42 60 80 86 102 108 128 146 150 156 182 188	-1472238852618
SPT(16)	2726522916437531657	0 14 50 80 90 116 120 132 134 146 150 176 186 216 252 266	-1018072783482
STPT(10)	2726523268766932931	0 2 6 8 18 20 30 32 36 38	-665743382208
SPT(16)	2726523514354936039	0 58 64 78 100 142 154 178 204 228 240 282 304 318 324 382	-420155379100
SPT(16)	2726523539868779639	0 18 20 32 48 102 132 162 170 200 230 284 300 312 314 332	-394641535500
STPT(10)	2726523739362281141	0 2 6 8 48 50 90 92 96 98	-195148033998
STPT(10)	2726524112138983757	0 2 30 32 42 44 54 56 84 86	177628668618
SPT(16)	2726524118802737207	0 50 54 56 86 114 120 170 180 230 236 264 294 296 300 350	184292422068
STPT(10)	2726524305640700861	0 2 6 8 18 20 30 32 36 38	371130385722
STPT(10)	2726524319053710359	0 2 30 32 60 62 90 92 120 122	384543395220
SPT(16)	2726524417688487433	0 34 64 76 114 136 154 190 294 330 348 370 408 420 450 484	483178172294