Prime p₀= 2069578456441409939 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 148 2 100 2 34 2 40 2 70 2 (?)
a_n: 0 2 60 62 210 212 312 314 348 350 390 392 462 464
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: 464
Found by: Landjunge
db: batch=80, k=14, 58 148 100 34 40 70

SPT(16)	2069576815314111709	0 22 58 112 144 154 162 168 244 250 258 268 300 354 390 412	-1641127298230
SPT(16)	2069576837684708831	0 12 26 42 78 90 146 152 156 162 218 230 266 282 296 308	-1618756701108
STPT(10)	2069577475704534581	0 2 30 32 78 80 126 128 156 158	-980736875358
SPT(16)	2069577688768335401	0 56 78 102 108 126 132 248 330 446 452 470 476 500 522 578	-767673074538
STPT(10)	2069578321742418167	0 2 90 92 102 104 114 116 204 206	-134698991772
TPT(16)	2069578450254986189	0 2 72 74 78 80 180 182 192 194 288 290 330 332 390 392	-6186423750
STPT(10)	2069579323883721017	0 2 30 32 42 44 54 56 84 86	867442311078
STPT(10)	2069580636296965871	0 2 30 32 78 80 126 128 156 158	2179855555932
SPT(16)	2069580938920528463	0 6 8 30 68 80 108 156 188 236 264 276 314 336 338 344	2482479118524
STPT(10)	2069581338116576927	0 2 24 26 42 44 60 62 84 86	2881675166988
SPT(16)	2069581782983373881	0 56 92 126 132 158 176 182 186 192 210 236 242 276 312 368	3326541963942