Prime p₀= 590629103877054161 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 34 2 40 2 70 2 64 2 40 2 (?)
a_n: 0 2 36 38 78 80 150 152 216 218 258 260
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: 260
Found by: UBT - Timbo
db: batch=71, k=12, 34 40 70 64 40

SPT(14)	590629021877360593	0 10 18 40 54 58 70 84 96 100 114 136 144 154	-81999693568
SPT(14)	590629027027954891	0 40 58 70 72 96 100 168 172 196 198 210 228 268	-76849099270
SPT(14)	590629041885224851	0 28 88 90 108 132 160 270 298 322 340 342 402 430	-61991829310
STPT(10)	590629067502125537	0 2 54 56 72 74 90 92 144 146	-36374928624
TPT(12)	590629077496536887	0 2 12 14 42 44 222 224 240 242 420 422	-26380517274
TPT(12)	590629099837007657	0 2 24 26 54 56 60 62 114 116 192 194	-4040046504
SPT(14)	590629107245462749	0 28 78 88 90 112 114 118 120 142 144 154 204 232	3368408588
SPT(14)	590629110101722057	0 70 72 100 130 156 160 186 190 216 246 274 276 346	6224667896
TPT(12)	590629112673803039	0 2 42 44 48 50 90 92 132 134 168 170	8796748878
TPT(12)	590629115338298591	0 2 78 80 90 92 156 158 198 200 330 332	11461244430
STPT(10)	590629124622682511	0 2 36 38 78 80 120 122 156 158	20745628350