Prime p₀= 2030512620764003009 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 100 2 34 2 70 2 16 2 10 2 28 2 (?)
a_n: 0 2 102 104 138 140 210 212 228 230 240 242 270 272
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: 272
Found by: Landjunge
db: batch=80, k=14, 100 34 70 16 10 28

STPT(10)	2030511395154490067	0 2 30 32 42 44 54 56 84 86	-1225609512942
STPT(10)	2030511565585236827	0 2 30 32 60 62 90 92 120 122	-1055178766182
SPT(16)	2030511910539078139	0 18 34 64 118 130 132 144 148 160 162 174 228 258 274 292	-710224924870
STPT(10)	2030512058878072769	0 2 18 20 30 32 42 44 60 62	-561885930240
SPT(16)	2030512118778149551	0 30 46 130 142 156 208 210 238 240 292 306 318 402 418 448	-501985853458
STPT(10)	2030512559647250681	0 2 36 38 78 80 120 122 156 158	-61116752328
STPT(10)	2030512780498563197	0 2 90 92 132 134 174 176 264 266	159734560188
SPT(16)	2030512832147425939	0 10 40 60 112 118 130 148 192 210 222 228 280 300 330 340	211383422930
SPT(16)	2030513169042644977	0 6 34 82 84 94 132 150 196 214 252 262 264 312 340 346	548278641968
SPT(16)	2030513325239228273	0 6 36 54 56 134 156 168 176 188 210 288 290 308 338 344	704475225264
TPT(14)	2030513532090028079	0 2 48 50 78 80 150 152 252 254 330 332 342 344	911326025070