Prime p₀= 2756814337872831239 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 34 2 70 2 28 2 70 2 28 2 (?)
a_n: 0 2 12 14 48 50 120 122 150 152 222 224 252 254
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: 254
Found by: JayPi
db: batch=82, k=14, 10 34 70 28 70 28

STPT(10)	2756813228972557421	0 2 6 8 18 20 30 32 36 38	-1108900273818
SPT(16)	2756813455982046463	0 4 16 28 30 66 100 136 168 204 238 274 276 288 300 304	-881890784776
STPT(10)	2756813506631262887	0 2 12 14 72 74 132 134 144 146	-831241568352
STPT(10)	2756813831191787699	0 2 12 14 90 92 168 170 180 182	-506681043540
SPT(16)	2756813841559393661	0 26 30 38 56 66 86 90 128 132 152 162 180 188 192 218	-496313437578
SPT(16)	2756813929728934247	0 14 20 56 90 156 176 186 284 294 314 380 414 450 456 470	-408143896992
SPT(18)	2756815060013237383	0 54 150 156 228 238 264 294 300 304 310 340 366 376 448 454 550 604	722140406144
SPT(16)	2756815245796198451	0 96 102 116 128 138 140 152 186 198 200 210 222 236 242 338	907923367212
STPT(10)	2756815303811278637	0 2 54 56 72 74 90 92 144 146	965938447398
STPT(10)	2756815465363211597	0 2 42 44 72 74 102 104 144 146	1127490380358
SPT(16)	2756815557841077709	0 4 12 40 60 82 144 168 184 208 270 292 312 340 348 352	1219968246470