Prime p₀= 289069476486711881 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 4 2 148 2 28 2 10 2 40 2 (?)
a_n: 0 2 6 8 156 158 186 188 198 200 240 242
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: 242
Found by: kim-b-h
db: batch=69, k=12, 4 148 28 10 40

SPT(16)	289069359623348137	0 42 52 60 72 100 130 150 184 204 234 262 274 282 292 334	-116863363744
TPT(12)	289069377641809799	0 2 72 74 138 140 180 182 210 212 222 224	-98844902082
SPT(14)	289069391499708751	0 10 18 22 106 126 136 162 172 192 276 280 288 298	-84987003130
SPT(16)	289069434831728959	0 4 24 48 58 70 90 108 154 172 192 204 214 238 258 262	-41654982922
SPT(14)	289069452851396381	0 2 66 90 126 146 150 212 216 236 272 296 360 362	-23635315500
TPT(12)	289069475493395477	0 2 12 14 84 86 180 182 210 212 240 242	-993316404
SPT(14)	289069498391738417	0 30 42 92 104 110 122 264 276 282 294 344 356 386	21905026536
SPT(14)	289069519305457237	0 6 34 36 70 84 90 100 106 120 154 156 184 190	42818745356
SPT(14)	289069526547395039	0 14 24 32 50 62 90 92 120 132 150 158 168 182	50060683158
SPT(14)	289069562379380221	0 10 18 88 96 102 130 228 256 262 270 340 348 358	85892668340
SPT(14)	289069569809697029	0 8 12 80 92 104 110 192 198 210 222 290 294 302	93322985148