Prime p₀= 404887037250410567 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 52 2 154 2 28 2 22 2 16 2 (?)
a_n: 0 2 54 56 210 212 240 242 264 266 282 284
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: Cruncher Pete
db: batch=70, k=12, 52 154 28 22 16

SPT(14)	404886938213154701	0 6 12 20 90 120 132 176 188 218 288 296 302 308	-99037255866
TPT(12)	404886951969657761	0 2 90 92 126 128 156 158 216 218 240 242	-85280752806
TPT(12)	404886971139641909	0 2 18 20 42 44 72 74 78 80 90 92	-66110768658
SPT(14)	404886982903352041	0 66 96 108 130 162 166 192 196 228 250 262 292 358	-54347058526
SPT(14)	404886993689278439	0 8 30 54 78 120 128 180 188 230 254 278 300 308	-43561132128
SPT(14)	404887026898778321	0 8 56 78 122 126 146 192 212 216 260 282 330 338	-10351632246
SPT(14)	404887037462846429	0 12 50 54 74 210 212 252 254 390 410 414 452 464	212435862
TPT(12)	404887040834019839	0 2 30 32 102 104 132 134 138 140 168 170	3583609272
SPT(14)	404887056454544267	0 2 32 42 50 60 86 120 146 156 164 174 204 206	19204133700
SPT(14)	404887070069183101	0 30 36 52 66 78 82 96 100 112 126 142 148 178	32818772534
SPT(14)	404887074207146591	0 2 12 30 48 56 90 98 132 140 158 176 186 188	36956736024