Prime p₀= 1395823534237131227 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 70 2 16 2 88 2 28 2 28 2 (?)
a_n: 0 2 42 44 114 116 132 134 222 224 252 254 282 284
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: Fornax
db: batch=77, k=14, 40 70 16 88 28 28

SPT(20)	1395821138177232127	0 30 34 100 142 184 210 214 252 256 270 274 312 316 342 384 426 492 496 526	-2396059899100
TPT(14)	1395821695043706179	0 2 18 20 30 32 132 134 168 170 252 254 300 302	-1839193425048
SPT(16)	1395821970943749581	0 8 30 38 60 78 108 122 246 260 290 308 330 338 360 368	-1563293381646
STPT(10)	1395822351224257457	0 2 54 56 72 74 90 92 144 146	-1183012873770
SPT(16)	1395822757168728347	0 20 32 56 90 92 116 182 264 330 354 356 390 414 426 446	-777068402880
STPT(10)	1395823150715557931	0 2 6 8 48 50 90 92 96 98	-383521573296
SPT(16)	1395824041591965101	0 2 26 68 78 86 102 182 216 296 312 320 330 372 396 398	507354833874
STPT(10)	1395824161753489967	0 2 42 44 72 74 102 104 144 146	627516358740
SPT(16)	1395824399885520259	0 40 42 54 70 118 130 132 160 162 174 222 238 250 252 292	865648389032
STPT(10)	1395824530049412011	0 2 6 8 48 50 90 92 96 98	995812280784
TPT(14)	1395824541549512339	0 2 72 74 150 152 210 212 282 284 312 314 348 350	1007312381112