Prime p₀= 199962465283238291 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 16 2 40 2 34 2 28 2 40 2 (?)
a_n: 0 2 18 20 60 62 96 98 126 128 168 170
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: 170
Found by: desktop64
db: batch=69, k=12, 16 40 34 28 40

SPT(14)	199962409399761647	0 2 14 20 30 36 84 92 140 146 156 162 174 176	-55883476644
SPT(14)	199962411172414939	0 28 60 112 130 138 142 210 214 222 240 292 324 352	-54110823352
SPT(14)	199962413864833069	0 4 10 22 52 58 84 88 114 120 150 162 168 172	-51418405222
SPT(16)	199962447562001911	0 10 42 52 108 132 166 196 222 252 286 310 366 376 408 418	-17721236380
SPT(14)	199962452413968589	0 42 48 88 102 112 148 174 210 220 234 274 280 322	-12869269702
SPT(14)	199962462883383689	0 32 42 60 62 80 98 114 132 150 152 170 180 212	-2399854602
SPT(14)	199962467160025679	0 14 20 50 68 72 90 92 110 114 132 162 168 182	1876787388
SPT(14)	199962467512881037	0 12 46 52 54 70 94 132 156 172 174 180 214 226	2229642746
SPT(14)	199962468020556797	0 36 72 96 122 140 152 234 246 264 290 314 350 386	2737318506
SPT(14)	199962468365883571	0 22 60 130 148 150 166 192 208 210 228 298 336 358	3082645280
SPT(14)	199962472019157391	0 18 42 48 90 120 136 162 178 208 250 256 280 298	6735919100