Prime p₀= 747511421076768371 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 28 2 34 2 28 2 10 2 46 2 (?)
a_n: 0 2 60 62 90 92 126 128 156 158 168 170 216 218
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: 218
Found by: [SG-2W]Kurzer
db: batch=73, k=14, 58 28 34 28 10 46

SPT(16)	747510276961302083	0 26 36 48 56 74 78 84 110 116 120 138 146 158 168 194	-1144115466288
SPT(16)	747510787865397613	0 10 36 54 66 70 94 96 124 126 150 154 166 184 210 220	-633211370758
SPT(16)	747510991249677023	0 48 56 108 144 218 228 246 248 266 276 350 386 438 446 494	-429827091348
SPT(16)	747511133164556311	0 40 46 82 130 220 298 342 376 420 498 588 636 672 678 718	-287912212060
SPT(13)	747511251506565751	0 6 30 60 66 90 108 126 150 156 186 210 216	-169570202620
STPT(10)	747511344828962759	0 2 12 14 90 92 168 170 180 182	-76247805612
STPT(10)	747511590402215447	0 2 54 56 72 74 90 92 144 146	169325447076
SPT(16)	747511628811378569	0 74 110 120 132 218 222 272 300 350 354 440 452 462 498 572	207734610198
STPT(10)	747511960025035727	0 2 30 32 42 44 54 56 84 86	538948267356
STPT(10)	747512069916940397	0 2 24 26 42 44 60 62 84 86	648840172026
STPT(10)	747512388217975349	0 2 12 14 30 32 48 50 60 62	967141206978