Prime p₀= 1907448884217981191 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 88 2 22 2 64 2 82 2 34 2 (?)
a_n: 0 2 36 38 126 128 150 152 216 218 300 302 336 338
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: 338
Found by: Landjunge
db: batch=80, k=14, 34 88 22 64 82 34

SPT(16)	1907447919326684117	0 14 42 56 104 122 132 146 390 404 414 432 480 494 522 536	-964891297074
SPT(16)	1907448484441088003	0 6 20 56 86 90 104 156 158 210 224 228 258 294 308 314	-399776893188
SPT(16)	1907448543985849957	0 70 114 126 136 156 196 310 360 474 514 534 544 556 600 670	-340232131234
STPT(10)	1907448617852245751	0 2 6 8 48 50 90 92 96 98	-266365735440
STPT(12)	1907448619989555821	0 2 36 38 48 50 78 80 90 92 126 128	-264228425370
SPT(16)	1907448773070900977	0 12 14 26 42 60 80 102 134 156 176 194 210 222 224 236	-111147080214
STPT(10)	1907448972952373759	0 2 18 20 30 32 42 44 60 62	88734392568
STPT(10)	1907449018594257497	0 2 60 62 72 74 84 86 144 146	134376276306
STPT(10)	1907449300314352259	0 2 12 14 90 92 168 170 180 182	416096371068
SPT(16)	1907449333933631681	0 78 90 92 96 128 146 152 156 162 180 212 216 218 230 308	449715650490
SPT(16)	1907449515436450873	0 4 6 30 66 70 84 154 156 226 240 244 280 304 306 310	631218469682