Prime p₀= 2234202630065994779 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 202 2 76 2 76 2 100 2 28 2 (?)
a_n: 0 2 48 50 252 254 330 332 408 410 510 512 540 542
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: 542
Found by: Landjunge
db: batch=81, k=14, 46 202 76 76 100 28

SPT(16)	2234201115732215101	0 10 30 58 70 90 108 150 226 268 286 306 318 346 366 376	-1514333779678
STPT(10)	2234201317746064109	0 2 42 44 60 62 78 80 120 122	-1312319930670
STPT(10)	2234201494791891017	0 2 30 32 42 44 54 56 84 86	-1135274103762
SPT(16)	2234202227830789663	0 6 28 144 154 168 210 214 240 244 286 300 310 426 448 454	-402235205116
SPT(16)	2234202485267319379	0 4 10 72 108 114 120 190 192 262 268 274 310 372 378 382	-144798675400
SPT(16)	2234202629898321421	0 136 148 166 196 226 240 250 276 286 300 330 360 378 390 526	-167673358
STPT(10)	2234203009883928047	0 2 30 32 42 44 54 56 84 86	379817933268
SPT(16)	2234203180368384839	0 14 18 54 78 80 92 98 144 150 162 164 188 224 228 242	550302390060
TPT(14)	2234203553144292731	0 2 66 68 108 110 138 140 150 152 306 308 378 380	923078297952
STPT(10)	2234203621231941167	0 2 54 56 72 74 90 92 144 146	991165946388
SPT(16)	2234203668145470869	0 60 84 108 180 182 260 282 290 312 390 392 464 488 512 572	1038079476090