Prime p₀= 406957169812685489 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 28 2 196 2 10 2 10 2 (?)
a_n: 0 2 30 32 60 62 258 260 270 272 282 284
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: 284
Found by: vinn@[CNT]
db: batch=70, k=12, 28 28 196 10 10

SPT(14)	406957073878887359	0 14 32 44 62 72 84 230 242 252 270 282 300 314	-95933798130
TPT(12)	406957086754007651	0 2 30 32 36 38 66 68 138 140 156 158	-83058677838
SPT(14)	406957097421012583	0 46 84 90 130 154 186 268 300 324 364 370 408 454	-72391672906
SPT(14)	406957098639214951	0 36 48 58 60 70 72 76 78 88 90 100 112 148	-71173470538
TPT(12)	406957115750186201	0 2 30 32 90 92 168 170 186 188 198 200	-54062499288
SPT(14)	406957137956761687	0 42 54 60 66 72 94 102 124 130 136 142 154 196	-31855923802
SPT(14)	406957172984049539	0 20 68 78 120 140 152 210 222 242 284 294 342 362	3171364050
TPT(12)	406957176194746757	0 2 30 32 72 74 150 152 180 182 192 194	6382061268
SPT(14)	406957195218714529	0 28 34 60 78 112 130 162 180 214 232 258 264 292	25406029040
SPT(14)	406957217533420289	0 60 74 80 128 150 158 234 242 264 312 318 332 392	47720734800
TPT(12)	406957217704808429	0 2 42 44 72 74 138 140 150 152 192 194	47892122940