Prime p₀= 302803194834985067 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 58 2 22 2 28 2 34 2 40 2 (?)
a_n: 0 2 60 62 84 86 114 116 150 152 192 194
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 194
Found by: Vit Kliber
db: batch=69, k=12, 58 22 28 34 40

SPT(14)	302803128337244299	0 24 52 84 88 90 94 228 232 234 238 270 298 322	-66497740768
SPT(14)	302803129281856817	0 14 42 50 96 132 174 182 224 260 306 314 342 356	-65553128250
SPT(14)	302803146082607543	0 6 48 66 84 98 156 158 216 230 248 266 308 314	-48752377524
SPT(14)	302803171538877641	0 8 20 30 42 48 62 66 80 86 98 108 120 128	-23296107426
TPT(12)	302803191704829971	0 2 138 140 240 242 276 278 288 290 306 308	-3130155096
SPT(16)	302803194817250731	0 6 10 18 28 88 112 142 186 216 240 300 310 318 322 328	-17734336
SPT(14)	302803194881595379	0 30 52 72 130 132 168 184 220 222 280 300 322 352	46610312
SPT(14)	302803215740517517	0 12 34 72 84 102 114 130 142 160 172 210 232 244	20905532450
SPT(14)	302803243949104357	0 6 34 42 70 76 90 196 210 216 244 252 280 286	49114119290
SPT(16)	302803249553518289	0 2 38 42 60 104 108 120 212 224 228 272 290 294 330 332	54718533222
SPT(16)	302803258378291339	0 4 12 30 42 54 70 84 88 102 118 130 142 160 168 172	63543306272