Prime p₀= 865685815548451967 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 40 2 4 2 40 2 10 2 (?)
a_n: 0 2 12 14 54 56 60 62 102 104 114 116
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: 116
Found by: Frank [NT]
db: batch=73, k=12, 2 10 2 40 2 4

SPT(16)	865684016075955539	0 24 50 78 92 114 128 140 192 204 218 240 254 282 308 332	-1799472496428
STPT(10)	865684241747565137	0 2 42 44 72 74 102 104 144 146	-1573800886830
SPT(16)	865684256103073951	0 12 22 70 112 126 150 162 166 178 202 216 258 306 316 328	-1559445378016
SPT(16)	865684521532333171	0 18 30 82 102 120 126 130 138 142 148 166 186 238 250 268	-1294016118796
SPT(16)	865685456087759443	0 16 24 48 94 108 118 136 138 156 166 180 226 250 258 274	-359460692524
SPT(16)	865685653112208001	0 12 16 40 72 112 126 132 190 196 210 250 282 306 310 322	-162436243966
SPT(16)	865686086092240073	0 24 50 78 84 96 146 168 176 198 248 260 266 294 320 344	270543788106
SPT(16)	865686135308054143	0 28 88 154 160 168 178 180 208 210 220 228 234 300 360 388	319759602176
TPT(14)	865686180172579397	0 2 60 62 132 134 294 296 324 326 462 464 492 494	364624127430
SPT(16)	865686210522254981	0 6 32 80 90 132 140 146 186 192 200 242 252 300 326 332	394973803014
STPT(10)	865686262649473019	0 2 18 20 30 32 42 44 60 62	447101021052