Prime p₀= 182974382813307221 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 46 2 28 2 10 2 46 2 40 2 (?)
a_n: 0 2 48 50 78 80 90 92 138 140 180 182
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: 182
Found by: Cruncher Pete
db: batch=69, k=12, 46 28 10 46 40

SPT(14)	182974308796148479	0 54 82 114 124 150 154 168 172 198 208 240 268 322	-74017158742
SPT(14)	182974310639239267	0 10 96 102 136 156 172 360 376 396 430 436 522 532	-72174067954
SPT(14)	182974319612829881	0 6 8 26 90 110 180 206 276 296 360 378 380 386	-63200477340
SPT(14)	182974326487251269	0 42 50 68 78 98 120 122 144 164 174 192 200 242	-56326055952
TPT(12)	182974358348435987	0 2 60 62 90 92 102 104 114 116 144 146	-24464871234
STPT(10)	182974358348436047	0 2 30 32 42 44 54 56 84 86	-24464871174
SPT(14)	182974390961915909	0 12 20 32 42 90 98 102 110 158 168 180 188 200	8148608688
STPT(10)	182974393252625801	0 2 30 32 78 80 126 128 156 158	10439318580
TPT(12)	182974393626167417	0 2 42 44 72 74 84 86 234 236 240 242	10812860196
SPT(14)	182974406291340107	0 30 56 92 104 114 126 170 182 192 204 240 266 296	23478032886
SPT(14)	182974417070912897	0 30 56 92 140 156 162 260 266 282 330 366 392 422	34257605676