Prime p₀= 2612068950637235237 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 10 2 4 2 10 2 10 2 (?)
a_n: 0 2 12 14 24 26 30 32 42 44 54 56
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: 56
Found by: RFGuy_KCCO
db: batch=82, k=12, 2 10 2 10 2 4

SPT(16)	2612067662210807069	0 24 48 62 68 80 114 140 162 188 222 234 240 254 278 302	-1288426428168
STPT(10)	2612067816181935689	0 2 42 44 90 92 138 140 180 182	-1134455299548
STPT(10)	2612067830492923289	0 2 48 50 90 92 132 134 180 182	-1120144311948
TPT(14)	2612068296961337969	0 2 42 44 60 62 102 104 150 152 210 212 240 242	-653675897268
STPT(10)	2612068508987359361	0 2 36 38 78 80 120 122 156 158	-441649875876
SPT(18)	2612068674161382659	0 18 62 72 98 152 170 210 222 230 242 282 300 354 380 390 434 452	-276475852578
SPT(16)	2612068995533787931	0 16 18 30 78 100 120 130 138 148 168 190 238 250 252 268	44896552694
SPT(16)	2612069252584676221	0 52 60 88 96 126 138 166 192 220 232 262 270 298 306 358	301947440984
TPT(14)	2612069523185081801	0 2 30 32 48 50 228 230 240 242 336 338 468 470	572547846564
STPT(10)	2612069709518058677	0 2 24 26 42 44 60 62 84 86	758880823440
SPT(16)	2612069900352411791	0 36 42 48 56 66 68 92 96 120 122 132 140 146 152 188	949715176554