Prime p₀= 1531237014690787511 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 118 2 100 2 16 2 10 2 136 2 (?)
a_n: 0 2 6 8 126 128 228 230 246 248 258 260 396 398
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: 398
Found by: xii5ku
db: batch=78, k=14, 4 118 100 16 10 136

SPT(16)	1531235936470459987	0 36 42 102 120 210 250 256 270 276 316 406 424 484 490 526	-1078220327524
STPT(10)	1531235943227503691	0 2 6 8 48 50 90 92 96 98	-1071463283820
SPT(16)	1531236210656500759	0 10 42 48 64 144 234 262 270 298 388 468 484 490 522 532	-804034286752
TPT(14)	1531236383063570921	0 2 78 80 90 92 150 152 210 212 246 248 306 308	-631627216590
SPT(16)	1531236675561875521	0 16 22 46 72 106 120 136 156 172 186 220 246 270 276 292	-339128911990
STPT(10)	1531236919553323061	0 2 30 32 78 80 126 128 156 158	-95137464450
STPT(10)	1531237132774689017	0 2 12 14 42 44 72 74 84 86	118083901506
SPT(16)	1531237466569968481	0 30 58 60 70 88 130 148 198 216 258 276 286 288 316 346	451879180970
STPT(10)	1531237763979413549	0 2 12 14 90 92 168 170 180 182	749288626038
SPT(16)	1531238048450608217	0 2 32 42 44 54 96 114 152 170 212 222 224 234 264 266	1033759820706
STPT(10)	1531238189484876701	0 2 6 8 48 50 90 92 96 98	1174794089190