Prime p₀= 2013754027034370767 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 28 2 64 2 70 2 28 2 28 2 (?)
a_n: 0 2 54 56 84 86 150 152 222 224 252 254 282 284
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: 284
Found by: Chooka
db: batch=80, k=14, 52 28 64 70 28 28

SPT(16)	2013752863303064309	0 20 38 48 54 98 114 174 188 248 264 308 314 324 342 362	-1163731306458
STPT(10)	2013753359610613667	0 2 12 14 72 74 132 134 144 146	-667423757100
STPT(10)	2013753632817487667	0 2 12 14 42 44 72 74 84 86	-394216883100
SPT(16)	2013753873599293481	0 12 50 78 90 126 140 162 236 258 272 308 320 348 386 398	-153435077286
STPT(10)	2013753896690021999	0 2 42 44 60 62 78 80 120 122	-130344348768
SPT(18)	2013754007151555661	0 6 72 76 90 156 196 208 222 256 270 282 322 388 402 406 472 478	-19882815106
STPT(10)	2013754122965097167	0 2 30 32 72 74 114 116 144 146	95930726400
SPT(16)	2013754126460965813	0 4 30 36 40 84 100 114 136 150 166 210 214 220 246 250	99426595046
SPT(16)	2013754259288406043	0 28 30 40 78 96 118 156 160 198 220 238 276 286 288 316	232254035276
STPT(10)	2013754391210687327	0 2 42 44 72 74 102 104 144 146	364176316560
STPT(10)	2013754420706552429	0 2 12 14 90 92 168 170 180 182	393672181662