Prime p₀= 2292968958021161141 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 40 2 58 2 10 2 16 2 28 2 (?)
a_n: 0 2 36 38 78 80 138 140 150 152 168 170 198 200
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: 200
Found by: JayPi2
db: batch=81, k=14, 34 40 58 10 16 28

TPT(14)	2292967813389756779	0 2 12 14 48 50 78 80 90 92 150 152 180 182	-1144631404362
SPT(16)	2292968042637221699	0 2 8 32 68 114 138 168 464 494 518 564 600 624 630 632	-915383939442
STPT(10)	2292968115173457077	0 2 30 32 72 74 114 116 144 146	-842847704064
SPT(16)	2292968392965536009	0 42 44 54 120 128 132 140 162 170 174 182 248 258 260 302	-565055625132
SPT(16)	2292968541701069129	0 14 24 32 80 120 122 134 150 162 164 204 252 260 270 284	-416320092012
STPT(10)	2292968634858509717	0 2 42 44 132 134 222 224 264 266	-323162651424
STPT(10)	2292969006965726357	0 2 90 92 102 104 114 116 204 206	48944565216
SPT(16)	2292969118362881339	0 14 62 80 84 128 134 140 162 168 174 218 222 240 288 302	160341720198
SPT(16)	2292969434445351793	0 18 40 76 88 124 186 196 228 238 300 336 348 384 406 424	476424190652
SPT(16)	2292970026231346699	0 4 42 58 72 84 94 100 102 108 118 130 144 160 198 202	1068210185558
SPT(16)	2292970333930111469	0 14 20 30 44 62 90 104 240 254 282 300 314 324 330 344	1375908950328