Prime p₀= 589912145901483311 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 88 2 4 2 28 2 28 2 10 2 (?)
a_n: 0 2 90 92 96 98 126 128 156 158 168 170
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: 170
Found by: UBT - Timbo
db: batch=71, k=12, 88 4 28 28 10

SPT(14)	589912058751841909	0 4 30 42 130 150 172 180 202 222 310 322 348 352	-87149641402
SPT(14)	589912069640874919	0 22 42 78 94 102 112 120 130 138 154 190 210 232	-76260608392
SPT(14)	589912079770813601	0 2 26 32 36 92 126 146 180 236 240 246 270 272	-66130669710
SPT(14)	589912088995450723	0 34 60 88 94 130 144 154 168 204 210 238 264 298	-56906032588
SPT(13)	589912111510196557	0 12 42 120 150 162 192 222 234 264 342 372 384	-34391286754
SPT(14)	589912128008748277	0 12 22 36 52 82 84 172 174 204 220 234 244 256	-17892735034
TPT(12)	589912159324049141	0 2 66 68 138 140 150 152 240 242 420 422	13422565830
SPT(14)	589912169075875939	0 34 40 42 52 54 60 82 88 90 100 102 108 142	23174392628
SPT(14)	589912178120492527	0 72 112 124 132 154 262 282 390 412 420 432 472 544	32219009216
SPT(14)	589912180675706089	0 10 64 88 90 108 130 168 190 208 210 234 288 298	34774222778
SPT(14)	589912190347807399	0 22 28 64 78 90 100 132 142 154 168 204 210 232	44446324088