Prime p₀= 2309652948526093589 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 28 2 46 2 88 2 136 2 22 2 (?)
a_n: 0 2 72 74 102 104 150 152 240 242 378 380 402 404
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: 404
Found by: FritzB
db: batch=81, k=14, 70 28 46 88 136 22

STPT(10)	2309651904639904997	0 2 30 32 42 44 54 56 84 86	-1043886188592
SPT(16)	2309652051290674523	0 38 80 86 90 146 158 170 186 198 210 266 270 276 318 356	-897235419066
SPT(16)	2309652195460003963	0 28 34 126 156 174 184 226 378 420 430 448 478 570 576 604	-753066089626
SPT(16)	2309652452468402389	0 34 40 88 90 118 154 190 192 228 264 292 294 342 348 382	-496057691200
SPT(16)	2309652817067545739	0 80 122 128 132 182 188 194 228 234 240 290 294 300 342 422	-131458547850
STPT(10)	2309652904941664067	0 2 30 32 60 62 90 92 120 122	-43584429522
STPT(10)	2309652977631937919	0 2 18 20 60 62 102 104 120 122	29105844330
STPT(10)	2309653440989959541	0 2 36 38 78 80 120 122 156 158	492463865952
SPT(16)	2309653587094219759	0 18 24 40 54 108 148 150 208 210 250 304 318 334 340 358	638568126170
TPT(14)	2309653780562836619	0 2 60 62 72 74 162 164 168 170 240 242 288 290	832036743030
SPT(16)	2309653822017672709	0 10 24 28 90 94 102 130 132 160 168 172 234 238 252 262	873491579120