Prime p₀= 2019261088809378767 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 172 2 34 2 178 2 28 2 22 2 58 2 (?)
a_n: 0 2 174 176 210 212 390 392 420 422 444 446 504 506
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: 506
Found by: kim-b-h
db: batch=80, k=14, 172 34 178 28 22 58

SPT(16)	2019260272124903389	0 22 30 40 64 72 142 154 180 192 262 270 294 304 312 334	-816684475378
SPT(16)	2019260579602439597	0 6 30 56 90 110 116 186 224 294 300 320 354 380 404 410	-509206939170
SPT(16)	2019260830096158287	0 2 14 20 60 74 114 132 182 200 240 254 294 300 312 314	-258713220480
SPT(16)	2019260892036404683	0 18 28 34 46 76 88 94 150 156 168 198 210 216 226 244	-196772974084
SPT(16)	2019260903235084869	0 104 122 132 150 210 230 254 258 282 302 362 380 390 408 512	-185574293898
STPT(10)	2019261062207717561	0 2 30 32 78 80 126 128 156 158	-26601661206
SPT(16)	2019261383742113831	0 6 26 56 66 162 182 192 206 216 236 332 342 372 392 398	294932735064
SPT(16)	2019261449194797953	0 56 66 74 104 144 158 164 210 216 230 270 300 308 318 374	360385419186
STPT(10)	2019261611711049911	0 2 6 8 18 20 30 32 36 38	522901671144
STPT(10)	2019262205330802737	0 2 30 32 42 44 54 56 84 86	1116521423970
SPT(16)	2019262483138335599	0 8 30 68 120 134 150 152 180 182 198 212 264 302 324 332	1394328956832