Prime p₀= 218864863635397391 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 16 2 40 2 4 2 28 2 28 2 (?)
a_n: 0 2 18 20 60 62 66 68 96 98 126 128
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: 128
Found by: scrap
db: batch=69, k=12, 16 40 4 28 28

SPT(14)	218864777231315167	0 24 42 60 142 156 184 222 250 264 346 364 382 406	-86404082224
SPT(14)	218864787402707317	0 16 22 42 46 126 132 154 160 240 244 264 270 286	-76232690074
SPT(14)	218864791994916101	0 26 102 110 132 150 168 170 188 206 228 236 312 338	-71640481290
SPT(14)	218864804979302917	0 4 22 36 52 54 66 100 112 114 130 144 162 166	-58656094474
SPT(14)	218864829402364349	0 14 18 32 42 68 80 102 114 140 150 164 168 182	-34233033042
SPT(14)	218864831172313171	0 72 82 160 180 258 300 370 412 490 510 588 598 670	-32463084220
TPT(12)	218864873096830271	0 2 36 38 48 50 150 152 216 218 258 260	9461432880
SPT(14)	218864879182675211	0 12 62 68 80 92 128 132 168 180 192 198 248 260	15547277820
TPT(12)	218864882866044011	0 2 78 80 120 122 210 212 288 290 420 422	19230646620
TPT(12)	218864887350316241	0 2 66 68 126 128 138 140 150 152 168 170	23714918850
SPT(14)	218864911173983353	0 10 48 60 66 70 88 156 174 178 184 196 234 244	47538585962