Prime p₀= 2941341329358327149 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 4 2 22 2 4 2 22 2 28 2 (?)
a_n: 0 2 42 44 48 50 72 74 78 80 102 104 132 134
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: 134
Found by: Landjunge
db: batch=82, k=14, 40 4 22 4 22 28

SPT(16)	2941339586731839889	0 24 70 100 102 114 124 144 148 168 178 190 192 222 268 292	-1742626487260
SPT(16)	2941339613183253311	0 2 42 50 72 110 122 126 152 156 168 206 228 236 276 278	-1716175073838
STPT(10)	2941340109104129177	0 2 30 32 42 44 54 56 84 86	-1220254197972
SPT(16)	2941340251350573697	0 10 52 60 106 130 150 162 184 196 216 240 286 294 336 346	-1078007753452
STPT(10)	2941340331684887549	0 2 18 20 30 32 42 44 60 62	-997673439600
SPT(16)	2941340841563539273	0 6 48 70 78 138 144 160 174 190 196 256 264 286 328 334	-487794787876
SPT(16)	2941341661085198383	0 18 24 28 126 150 174 220 354 400 424 448 546 550 556 574	331726871234
SPT(16)	2941341757876079251	0 18 40 66 78 96 130 178 198 246 280 298 310 336 358 376	428517752102
SPT(16)	2941341881619760349	0 14 24 30 80 90 92 122 132 162 164 174 224 230 240 254	552261433200
SPT(16)	2941342276378871633	0 8 74 108 168 188 230 266 318 354 396 416 476 510 576 584	947020544484
STPT(10)	2941342806401201129	0 2 48 50 90 92 132 134 180 182	1477042873980