Prime p₀= 138633020742773231 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 76 2 16 2 22 2 58 2 124 2 (?)
a_n: 0 2 78 80 96 98 120 122 180 182 306 308
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: 308
Found by: JUNE_2022
db: batch=67, k=12, 76 16 22 58 124

SPT(14)	138632968360160579	0 8 44 48 50 74 78 110 114 138 140 144 180 188	-52382612652
SPT(14)	138632990208451439	0 12 30 32 38 68 74 78 84 114 120 122 140 152	-30534321792
SPT(14)	138632995514783717	0 54 90 104 122 146 162 194 210 234 252 266 302 356	-25227989514
SPT(14)	138633000494773637	0 14 20 54 86 116 140 156 180 210 242 276 282 296	-20247999594
SPT(14)	138633017336356171	0 10 40 66 70 100 142 150 192 222 226 252 282 292	-3406417060
SPT(14)	138633019724514863	0 20 36 44 86 114 116 144 146 174 216 224 240 260	-1018258368
SPT(14)	138633040698863273	0 6 14 38 44 54 90 104 140 150 156 180 188 194	19956090042
SPT(14)	138633044018501993	0 24 56 116 120 164 224 276 336 380 384 444 476 500	23275728762
SPT(14)	138633047411557561	0 48 52 106 148 162 186 262 286 300 342 396 400 448	26668784330
SPT(14)	138633050320185769	0 18 24 64 78 82 108 124 150 154 168 208 214 232	29577412538
SPT(14)	138633065784929741	0 20 42 56 68 72 152 156 236 240 252 266 288 308	45042156510