Prime p₀= 1395820757732630609 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 22 2 34 2 10 2 40 2 118 2 (?)
a_n: 0 2 18 20 42 44 78 80 90 92 132 134 252 254
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: Conan
db: batch=77, k=14, 16 22 34 10 40 118

SPT(16)	1395819835656041843	0 20 24 38 50 68 80 90 98 108 120 138 150 164 168 188	-922076588766
STPT(10)	1395820031543514329	0 2 18 20 30 32 42 44 60 62	-726189116280
SPT(16)	1395820176659590807	0 42 54 82 114 124 144 222 244 322 342 352 384 412 424 466	-581073039802
TPT(16)	1395820389015031379	0 2 78 80 138 140 180 182 210 212 240 242 252 254 288 290	-368717599230
SPT(16)	1395820488117792991	0 70 132 210 216 232 246 280 282 316 330 346 352 430 492 562	-269614837618
STPT(10)	1395820608457892759	0 2 18 20 30 32 42 44 60 62	-149274737850
SPT(20)	1395821138177232127	0 30 34 100 142 184 210 214 252 256 270 274 312 316 342 384 426 492 496 526	380444601518
TPT(14)	1395821695043706179	0 2 18 20 30 32 132 134 168 170 252 254 300 302	937311075570
SPT(16)	1395821970943749581	0 8 30 38 60 78 108 122 246 260 290 308 330 338 360 368	1213211118972
STPT(10)	1395822351224257457	0 2 54 56 72 74 90 92 144 146	1593491626848
SPT(16)	1395822757168728347	0 20 32 56 90 92 116 182 264 330 354 356 390 414 426 446	1999436097738