Prime p₀= 589913959211923901 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 58 2 16 2 136 2 82 2 94 2 (?)
a_n: 0 2 60 62 78 80 216 218 300 302 396 398
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: 398
Found by: UBT - Timbo
db: batch=71, k=12, 58 16 136 82 94

SPT(16)	589913872633059829	0 24 30 84 100 108 112 142 150 180 184 192 208 262 268 292	-86578864072
SPT(14)	589913888863401163	0 24 70 78 88 94 118 180 204 210 220 228 274 298	-70348522738
TPT(12)	589913912575740581	0 2 6 8 36 38 78 80 90 92 168 170	-46636183320
SPT(14)	589913920113819751	0 10 42 58 72 90 136 192 238 256 270 286 318 328	-39098104150
SPT(16)	589913940273625567	0 4 54 64 112 130 174 186 190 202 246 264 312 322 372 376	-18938298334
SPT(14)	589913956610803177	0 52 70 72 84 94 124 210 240 250 262 264 282 334	-2601120724
SPT(14)	589913973826572739	0 4 40 54 60 64 94 114 144 148 154 168 204 208	14614648838
SPT(14)	589913987104356757	0 6 10 12 16 42 72 94 124 150 154 156 160 166	27892432856
SPT(14)	589914002179999711	0 16 30 42 90 96 106 132 142 148 196 208 222 238	42968075810
TPT(12)	589914007659402029	0 2 48 50 162 164 168 170 282 284 288 290	48447478128
TPT(12)	589914008509402007	0 2 30 32 54 56 72 74 132 134 144 146	49297478106