Prime p₀= 756408781125693077 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 22 2 34 2 40 2 88 2 46 2 (?)
a_n: 0 2 30 32 54 56 90 92 132 134 222 224 270 272
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: 272
Found by: [SG]steini
db: batch=73, k=14, 28 22 34 40 88 46

STPT(10)	756408028158003581	0 2 6 8 48 50 90 92 96 98	-752967689496
STPT(10)	756408367733394281	0 2 6 8 48 50 90 92 96 98	-413392298796
SPT(16)	756408400760370121	0 36 58 60 82 88 112 126 142 156 180 186 208 210 232 268	-380365322956
SPT(16)	756408512945267437	0 22 36 40 156 216 246 250 282 286 316 376 492 496 510 532	-268180425640
STPT(10)	756408620808468071	0 2 108 110 138 140 168 170 276 278	-160317225006
STPT(10)	756408691862400089	0 2 42 44 60 62 78 80 120 122	-89263292988
STPT(10)	756408785682616271	0 2 6 8 18 20 30 32 36 38	4556923194
SPT(16)	756408818699074861	0 40 48 90 132 136 138 150 178 190 192 196 238 280 288 328	37573381784
STPT(10)	756409099474989197	0 2 30 32 42 44 54 56 84 86	318349296120
SPT(16)	756409606581725861	0 8 48 56 62 90 92 140 168 216 218 246 252 260 300 308	825456032784
SPT(16)	756409610977385297	0 66 84 86 174 182 270 272 294 296 384 392 480 482 500 566	829851692220