Prime p₀= 408622682231396849 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 16 2 70 2 64 2 22 2 (?)
a_n: 0 2 12 14 30 32 102 104 168 170 192 194
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: 194
Found by: Cruncher Pete
db: batch=70, k=12, 10 16 70 64 22

SPT(14)	408622642944197047	0 42 64 120 126 142 144 202 204 220 226 282 304 346	-39287199802
SPT(14)	408622645251235403	0 48 158 200 224 270 314 330 374 420 444 486 596 644	-36980161446
SPT(14)	408622645262348893	0 18 70 88 90 94 148 150 204 208 210 228 280 298	-36969047956
SPT(14)	408622653007301861	0 36 86 98 102 116 120 248 252 266 270 282 332 368	-29224094988
SPT(14)	408622680070157783	0 14 26 44 68 90 96 98 104 126 150 168 180 194	-2161239066
SPT(14)	408622680278381677	0 36 94 142 162 174 216 220 262 274 294 342 400 436	-1953015172
SPT(14)	408622682739741571	0 6 30 72 78 90 100 138 148 160 166 208 232 238	508344722
SPT(14)	408622695327497059	0 70 78 100 142 148 168 232 252 258 300 322 330 400	13096100210
STPT(10)	408622707921983879	0 2 42 44 60 62 78 80 120 122	25690587030
SPT(14)	408622719987954817	0 10 16 24 46 60 64 156 160 174 196 204 210 220	37756557968
SPT(14)	408622721195961401	0 12 50 126 150 152 156 176 180 182 206 282 320 332	38964564552