Prime p₀= 2123605753605714869 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 46 2 82 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 162 164 210 212 240 242
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: 242
Found by: ChUcK
db: batch=80, k=12, 2 28 2 46 2 82

SPT(16)	2123604251150191967	0 2 24 26 42 62 66 72 104 110 114 134 150 152 174 176	-1502455522902
SPT(16)	2123604276136658059	0 30 42 52 72 84 90 132 160 202 208 220 240 250 262 292	-1477469056810
STPT(10)	2123604537820160597	0 2 42 44 72 74 102 104 144 146	-1215785554272
TPT(14)	2123604681112141679	0 2 48 50 102 104 138 140 240 242 258 260 312 314	-1072493573190
TPT(14)	2123604797098787279	0 2 12 14 60 62 90 92 168 170 222 224 300 302	-956506927590
SPT(16)	2123605128632179583	0 14 18 20 24 56 68 80 84 96 108 140 144 146 150 164	-624973535286
STPT(12)	2123605818407900969	0 2 30 32 60 62 72 74 102 104 132 134	64802186100
STPT(10)	2123606104931659259	0 2 18 20 30 32 42 44 60 62	351325944390
STPT(10)	2123606319754099709	0 2 12 14 90 92 168 170 180 182	566148384840
SPT(16)	2123606453698939211	0 18 30 56 66 98 146 188 210 252 300 332 342 368 380 398	700093224342
SPT(16)	2123606623915861919	0 8 24 42 48 60 98 102 230 234 272 284 290 308 324 332	870310147050