Prime p₀= 910411335295213511 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 40 2 88 2 16 2 58 2 40 2 (?)
a_n: 0 2 6 8 48 50 138 140 156 158 216 218 258 260
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: 260
Found by: Theadalus
db: batch=76, k=14, 4 40 88 16 58 40

TPT(14)	910410218618797859	0 2 48 50 132 134 180 182 228 230 282 284 312 314	-1116676415652
STPT(10)	910410367054980689	0 2 18 20 60 62 102 104 120 122	-968240232822
SPT(16)	910410770380045621	0 40 52 60 82 100 112 130 150 168 180 198 220 228 240 280	-564915167890
STPT(10)	910410801391002797	0 2 12 14 42 44 72 74 84 86	-533904210714
SPT(16)	910410916443932249	0 2 54 80 90 98 108 164 198 254 264 272 282 308 360 362	-418851281262
STPT(12)	910410998363340347	0 2 12 14 84 86 150 152 222 224 234 236	-336931873164
SPT(16)	910411360469956421	0 32 38 96 110 116 126 140 198 212 222 228 242 300 306 338	25174742910
SPT(16)	910411563932439287	0 36 50 120 176 186 206 210 242 246 266 276 332 402 416 452	228637225776
SPT(16)	910411733714844139	0 28 30 70 78 108 114 120 148 154 160 190 198 238 240 268	398419630628
STPT(10)	910412211832193171	0 2 6 8 48 50 90 92 96 98	876536979660
SPT(16)	910412641755385193	0 50 80 98 110 120 164 188 210 234 278 288 300 318 348 398	1306460171682