Prime p₀= 236686400366572631 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 58 2 34 2 28 2 100 2 40 2 (?)
a_n: 0 2 60 62 96 98 126 128 228 230 270 272
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: 272
Found by: emoga
db: batch=69, k=12, 58 34 28 100 40

SPT(14)	236686291341447631	0 10 36 46 66 76 78 160 162 172 192 202 228 238	-109025125000
SPT(14)	236686307815623143	0 24 30 36 90 126 234 266 374 410 464 470 476 500	-92550949488
SPT(14)	236686312226843389	0 28 40 58 82 100 138 154 192 210 234 252 264 292	-88139729242
STPT(10)	236686330835416949	0 2 12 14 90 92 168 170 180 182	-69531155682
SPT(14)	236686371787407329	0 78 128 138 162 170 188 204 222 230 254 264 314 392	-28579165302
SPT(14)	236686399374975833	0 8 24 38 50 54 66 98 110 114 126 140 156 164	-991596798
SPT(14)	236686403586969461	0 6 20 32 56 72 80 132 140 156 180 192 206 212	3220396830
SPT(14)	236686404954844717	0 34 36 52 82 112 124 132 144 174 204 220 222 256	4588272086
SPT(14)	236686420773953713	0 24 28 78 90 106 120 124 138 154 166 216 220 244	20407381082
SPT(14)	236686421010083521	0 70 72 100 112 130 142 180 192 210 222 250 252 322	20643510890
SPT(14)	236686446058029481	0 52 66 82 96 106 160 252 306 316 330 346 360 412	45691456850