Prime p₀= 227597670620328401 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 64 2 40 2 10 2 58 2 64 2 (?)
a_n: 0 2 66 68 108 110 120 122 180 182 246 248
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: 248
Found by: davidBAM
db: batch=69, k=12, 64 40 10 58 64

SPT(14)	227597610060698819	0 2 32 50 54 120 132 140 152 218 222 240 270 272	-60559629582
SPT(14)	227597613646439189	0 2 38 90 104 108 114 158 164 168 182 234 270 272	-56973889212
TPT(12)	227597619056959631	0 2 18 20 138 140 186 188 228 230 348 350	-51563368770
SPT(14)	227597641868993771	0 6 30 72 78 92 102 116 126 140 146 188 212 218	-28751334630
SPT(14)	227597646776016793	0 40 66 100 106 150 156 190 196 240 246 280 306 346	-23844311608
SPT(14)	227597659793499343	0 76 150 196 216 234 256 258 280 298 318 364 438 514	-10826829058
SPT(14)	227597684784033211	0 36 60 82 156 190 196 216 222 256 330 352 376 412	14163704810
SPT(14)	227597689070656417	0 6 30 34 36 64 84 142 162 190 192 196 220 226	18450328016
SPT(14)	227597690665964851	0 30 52 102 112 126 190 192 256 270 280 330 352 382	20045636450
SPT(14)	227597694450367081	0 78 88 156 178 190 196 222 228 240 262 330 340 418	23830038680
SPT(14)	227597705132086253	0 20 54 56 84 194 236 264 306 416 444 446 480 500	34511757852