Prime p₀= 1292409540029975681 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 28 2 40 2 46 2 52 2 34 2 (?)
a_n: 0 2 66 68 96 98 138 140 186 188 240 242 276 278
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: 278
Found by: biodoc
db: batch=77, k=14, 64 28 40 46 52 34

SPT(16)	1292408568420699409	0 30 58 60 72 124 130 144 148 162 168 220 232 234 262 292	-971609276272
SPT(16)	1292408785929223667	0 12 92 144 146 152 174 180 266 272 294 300 302 354 434 446	-754100752014
STPT(10)	1292408796471008969	0 2 18 20 30 32 42 44 60 62	-743558966712
SPT(16)	1292408945882205611	0 56 78 92 96 108 162 176 192 206 260 272 276 290 312 368	-594147770070
SPT(16)	1292409327068400311	0 12 30 56 122 156 182 198 290 306 332 366 432 458 476 488	-212961575370
STPT(10)	1292409434126665451	0 2 36 38 78 80 120 122 156 158	-105903310230
SPT(16)	1292409796369114363	0 30 40 78 90 96 114 118 156 160 178 184 196 234 244 274	256339138682
SPT(16)	1292410056490574831	0 6 20 38 42 66 80 90 98 108 122 146 150 168 182 188	516460599150
SPT(16)	1292410302250944817	0 24 40 66 72 94 114 154 162 202 222 244 250 276 292 316	762220969136
STPT(10)	1292410393928284451	0 2 6 8 18 20 30 32 36 38	853898308770
STPT(10)	1292410721844646247	0 2 30 32 42 44 54 56 84 86	1181814670566