Prime p₀= 294898667452115789 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 100 2 4 2 82 2 16 2 16 2 (?)
a_n: 0 2 102 104 108 110 192 194 210 212 228 230
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: 230
Found by: emoga
db: batch=69, k=12, 100 4 82 16 16

SPT(14)	294898640572596691	0 42 82 112 166 180 190 252 262 276 330 360 400 442	-26879519098
SPT(14)	294898644115449529	0 12 30 42 60 114 124 168 178 232 250 262 280 292	-23336666260
SPT(14)	294898652303751271	0 6 58 72 88 96 132 136 172 180 196 210 262 268	-15148364518
SPT(14)	294898659983564129	0 30 38 72 78 120 122 180 182 224 230 264 272 302	-7468551660
SPT(14)	294898661006497843	0 10 40 54 100 106 150 184 228 234 280 294 324 334	-6445617946
SPT(14)	294898661931378319	0 24 40 42 90 132 168 244 280 322 370 372 388 412	-5520737470
SPT(14)	294898674412688617	0 10 24 52 64 84 102 112 130 150 162 190 204 214	6960572828
SPT(14)	294898701548625833	0 18 24 38 54 80 96 98 114 140 156 170 176 194	34096510044
SPT(14)	294898708480933981	0 6 78 90 132 142 162 166 186 196 238 250 322 328	41028818192
STPT(10)	294898713112925039	0 2 18 20 30 32 42 44 60 62	45660809250
TPT(12)	294898757842117991	0 2 78 80 288 290 330 332 378 380 438 440	90390002202