Prime p₀= 825911745755975237 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 58 2 106 2 28 2 22 2 166 2 (?)
a_n: 0 2 72 74 132 134 240 242 270 272 294 296 462 464
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: 464
Found by: matsu_pl
db: batch=73, k=14, 70 58 106 28 22 166

SPT(16)	825911188091408533	0 46 64 70 88 90 100 118 156 174 184 186 204 210 228 274	-557664566704
SPT(16)	825911215555097297	0 20 26 36 44 66 80 84 92 96 110 132 140 150 156 176	-530200877940
SPT(16)	825911294655360593	0 8 18 26 30 36 54 80 114 140 158 164 168 176 186 194	-451100614644
SPT(16)	825911476180477837	0 34 36 42 72 112 126 132 184 190 204 244 274 280 282 316	-269575497400
STPT(10)	825911539943720297	0 2 60 62 72 74 84 86 144 146	-205812254940
SPT(16)	825911576874093097	0 40 84 174 204 216 222 226 300 304 310 322 352 442 486 526	-168881882140
TPT(14)	825911864973996341	0 2 30 32 126 128 168 170 186 188 228 230 258 260	119218021104
SPT(16)	825911942598760949	0 42 74 78 110 120 138 140 162 164 182 192 224 228 260 302	196842785712
SPT(16)	825912109811069903	0 44 66 114 144 164 198 228 296 326 360 380 410 458 480 524	364055094666
STPT(10)	825912158131976099	0 2 30 32 60 62 90 92 120 122	412376000862
SPT(16)	825912172308040151	0 12 20 42 90 122 140 176 222 258 276 308 356 378 386 398	426552064914