Prime p₀= 1233239342214312647 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 16 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 60 62 90 92 102 104
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: 104
Found by: Theadalus
db: batch=77, k=12, 2 10 2 28 2 16

STPT(10)	1233238076640844187	0 2 84 86 132 134 180 182 264 266	-1265573468460
STPT(10)	1233238436793160937	0 2 60 62 72 74 84 86 144 146	-905421151710
SPT(16)	1233238759304642119	0 12 24 28 30 52 112 120 142 150 210 232 234 238 250 262	-582909670528
TPT(14)	1233238839160548947	0 2 60 62 72 74 84 86 102 104 180 182 234 236	-503053763700
STPT(10)	1233238864302043997	0 2 30 32 72 74 114 116 144 146	-477912268650
SPT(16)	1233239234649209849	0 24 48 62 78 90 98 122 150 174 182 194 210 224 248 272	-107565102798
SPT(13)	1233239722111482623	0 18 30 66 108 156 168 180 228 270 306 318 336	379897169976
SPT(16)	1233239790789955703	0 14 24 66 98 104 140 164 240 264 300 306 338 380 390 404	448575643056
TPT(14)	1233240182132503847	0 2 24 26 30 32 54 56 222 224 324 326 330 332	839918191200
SPT(18)	1233241352808871169	0 2 12 74 98 108 140 150 162 200 212 222 254 264 288 350 360 362	2010594558522
SPT(16)	1233241704352826911	0 30 40 42 66 72 96 100 138 142 166 172 196 198 208 238	2362138514264