Prime p₀= 123463900607239781 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 64 2 28 2 22 2 16 2 16 2 (?)
a_n: 0 2 66 68 96 98 120 122 138 140 156 158
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: 158
Found by: [B@P] Daniel
db: batch=67, k=12, 64 28 22 16 16

SPT(14)	123463837555833557	0 24 26 80 84 96 126 164 194 206 210 264 266 290	-63051406224
SPT(14)	123463853625249197	0 2 14 32 36 56 60 86 90 110 114 132 144 146	-46981990584
TPT(12)	123463855201701107	0 2 42 44 60 62 90 92 144 146 252 254	-45405538674
TPT(12)	123463862886693779	0 2 60 62 72 74 90 92 162 164 228 230	-37720546002
SPT(14)	123463875971036327	0 2 72 80 90 132 212 234 314 356 366 374 444 446	-24636203454
TPT(12)	123463884020894297	0 2 24 26 72 74 84 86 102 104 192 194	-16586345484
TPT(12)	123463939539291269	0 2 120 122 228 230 240 242 252 254 372 374	38932051488
TPT(12)	123463942343942687	0 2 54 56 90 92 102 104 180 182 222 224	41736702906
SPT(14)	123463943369673223	0 4 48 58 84 108 118 186 196 220 246 256 300 304	42762433442
STPT(10)	123463970305165121	0 2 30 32 78 80 126 128 156 158	69697925340
SPT(14)	123463970707730629	0 18 28 40 54 132 144 148 160 238 252 264 274 292	70100490848