Prime p₀= 342427396386951047 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 40 2 40 2 16 2 106 2 28 2 (?)
a_n: 0 2 42 44 84 86 102 104 210 212 240 242
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: Cruncher Pete
db: batch=70, k=12, 40 40 16 106 28

SPT(14)	342427381539909899	0 8 30 60 90 102 104 198 200 212 242 272 294 302	-14847041148
SPT(14)	342427384459359383	0 86 90 104 116 140 150 164 174 198 210 224 228 314	-11927591664
SPT(14)	342427385020319969	0 2 24 62 68 90 122 240 272 294 300 338 360 362	-11366631078
SPT(14)	342427387491902761	0 6 12 52 72 102 112 240 250 280 300 340 346 352	-8895048286
SPT(16)	342427388552166809	0 38 50 90 134 138 180 194 204 218 260 264 308 348 360 398	-7834784238
SPT(14)	342427390932375029	0 2 74 78 114 120 152 210 242 248 284 288 360 362	-5454576018
SPT(14)	342427415832776761	0 18 22 28 48 60 102 106 148 160 180 186 190 208	19445825714
TPT(12)	342427450949274959	0 2 30 32 48 50 78 80 210 212 288 290	54562323912
SPT(14)	342427490551160659	0 24 42 60 82 88 102 130 144 150 172 190 208 232	94164209612
TPT(12)	342427500055929137	0 2 12 14 24 26 54 56 210 212 234 236	103668978090
TPT(12)	342427506887625827	0 2 42 44 54 56 90 92 120 122 180 182	110500674780