Prime p₀= 830357907718265681 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 46 2 28 2 52 2 34 2 22 2 (?)
a_n: 0 2 18 20 66 68 96 98 150 152 186 188 210 212
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: 212
Found by: schoussi
db: batch=73, k=14, 16 46 28 52 34 22

SPT(16)	830355956948383849	0 18 22 40 142 144 154 162 190 198 208 210 312 330 334 352	-1950769881832
SPT(16)	830356091987428817	0 20 30 32 114 132 182 224 342 384 434 452 534 536 546 566	-1815730836864
SPT(16)	830356386085316729	0 30 38 84 90 122 174 192 290 308 360 392 398 444 452 482	-1521632948952
SPT(16)	830357003816159227	0 30 84 106 114 144 150 226 414 490 496 526 534 556 610 640	-903902106454
SPT(16)	830357057727380717	0 66 132 146 252 270 276 326 366 416 422 440 546 560 626 692	-849990884964
STPT(10)	830357149990664687	0 2 30 32 42 44 54 56 84 86	-757727600994
STPT(10)	830358200774407601	0 2 6 8 18 20 30 32 36 38	293056141920
STPT(10)	830358246574504001	0 2 6 8 48 50 90 92 96 98	338856238320
STPT(10)	830358312188123861	0 2 6 8 18 20 30 32 36 38	404469858180
SPT(16)	830358422583385327	0 34 36 60 66 90 102 150 196 244 256 280 286 310 312 346	514865119646
SPT(16)	830358432829116563	0 14 26 30 36 74 78 80 114 116 120 158 164 168 180 194	525110850882