Prime p₀= 5327637020843831 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 64 2 82 2 16 2 28 2 10 2 (?)
a_n: 0 2 66 68 150 152 168 170 198 200 210 212
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: 212
Found by: amazing
db: batch=61, k=12, 64 82 16 28 10

SPT(14)	5327602846717889	0 12 14 24 38 62 72 80 90 114 128 138 140 152	-34174125942
SPT(14)	5327609206623763	0 48 66 70 78 100 108 166 174 196 204 208 226 274	-27814220068
SPT(14)	5327609708136533	0 44 48 54 68 96 116 138 158 186 200 206 210 254	-27312707298
SPT(14)	5327621895974111	0 12 26 42 86 110 122 186 198 222 266 282 296 308	-15124869720
SPT(14)	5327622321815617	0 36 70 82 120 124 126 130 132 136 174 186 220 256	-14699028214
SPT(14)	5327627977860359	0 42 68 78 80 98 110 120 132 150 152 162 188 230	-9042983472
SPT(14)	5327639756842649	0 44 54 60 78 98 108 254 264 284 302 308 318 362	2735998818
SPT(14)	5327641519352071	0 22 76 82 190 196 222 226 252 258 366 372 426 448	4498508240
SPT(14)	5327657280835081	0 10 22 40 48 58 82 108 132 142 150 168 180 190	20259991250
SPT(14)	5327658482209439	0 24 48 60 62 78 84 98 104 120 122 134 158 182	21461365608
SPT(14)	5327667764689183	0 16 28 60 64 88 114 130 156 180 184 216 228 244	30743845352