Prime p₀= 234318513181051751 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 4 2 172 2 28 2 28 2 16 2 (?)
a_n: 0 2 6 8 180 182 210 212 240 242 258 260
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: Jeff17
db: batch=69, k=12, 4 172 28 28 16

SPT(14)	234318444726801221	0 2 12 20 30 86 128 180 222 278 288 296 306 308	-68454250530
SPT(16)	234318448203155317	0 40 42 84 94 100 124 130 204 210 234 240 250 292 294 334	-64977896434
TPT(12)	234318456178706111	0 2 18 20 36 38 90 92 210 212 300 302	-57002345640
SPT(14)	234318471269326519	0 52 70 108 160 168 180 190 202 210 262 300 318 370	-41911725232
SPT(14)	234318482257053121	0 30 78 88 100 102 162 166 226 228 240 250 298 328	-30923998630
SPT(14)	234318495030959809	0 22 40 42 54 64 84 100 120 130 142 144 162 184	-18150091942
SPT(16)	234318515102972239	0 10 24 90 114 132 162 168 184 190 220 238 262 328 342 352	1921920488
SPT(20)	234318522746727379	0 24 88 90 102 142 184 192 198 202 210 214 220 228 270 310 322 324 388 412	9565675628
SPT(14)	234318525379560179	0 12 48 68 90 98 132 140 174 182 204 224 260 272	12198508428
SPT(14)	234318526271412551	0 20 38 50 68 80 86 90 96 108 126 138 156 176	13090360800
SPT(14)	234318529770718859	0 12 30 44 60 72 92 120 140 152 168 182 200 212	16589667108