Prime p₀= 302810616961229357 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 52 2 148 2 58 2 136 2 16 2 (?)
a_n: 0 2 54 56 204 206 264 266 402 404 420 422
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: 422
Found by: Vit Kliber
db: batch=69, k=12, 52 148 58 136 16

SPT(14)	302810510258679613	0 60 66 88 130 136 144 190 198 204 246 268 274 334	-106702549744
SPT(14)	302810513464096513	0 18 36 46 54 64 130 144 210 220 228 238 256 274	-103497132844
SPT(14)	302810524960977791	0 8 38 72 120 132 140 198 206 218 266 300 330 338	-92000251566
TPT(12)	302810551708774517	0 2 72 74 90 92 204 206 210 212 282 284	-65252454840
SPT(14)	302810552281456147	0 24 60 76 106 174 186 220 232 300 330 346 382 406	-64679773210
SPT(14)	302810557439166199	0 10 30 82 112 120 124 180 184 192 222 274 294 304	-59522063158
TPT(12)	302810618902174961	0 2 6 8 48 50 156 158 198 200 210 212	1940945604
SPT(14)	302810628662591221	0 22 100 102 106 112 118 210 216 222 226 228 306 328	11701361864
SPT(14)	302810630258618351	0 2 80 86 126 158 162 206 210 242 282 288 366 368	13297388994
SPT(14)	302810652036928727	0 6 14 24 44 54 80 90 116 126 146 156 164 170	35075699370
SPT(16)	302810659144682081	0 12 26 38 50 72 78 110 138 170 176 198 210 222 236 248	42183452724