Prime p₀= 34010847068317121 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 4 2 22 2 136 2 16 2 58 2 (?)
a_n: 0 2 6 8 30 32 168 170 186 188 246 248
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: 248
Found by: davidBAM
db: batch=65, k=12, 4 22 136 16 58

SPT(16)	34010797903412893	0 10 54 76 78 118 150 220 234 304 336 376 378 400 444 454	-49164904228
SPT(14)	34010811922989757	0 4 10 70 94 120 126 130 136 162 186 246 252 256	-35145327364
SPT(14)	34010814410245801	0 16 18 60 66 88 100 156 168 190 196 238 240 256	-32658071320
SPT(14)	34010820177198269	0 42 62 132 152 168 170 210 212 228 248 318 338 380	-26891118852
SPT(14)	34010832838278313	0 6 34 84 160 184 190 210 216 240 316 366 394 400	-14230038808
SPT(14)	34010835331799399	0 2 50 68 72 90 212 258 380 398 402 420 468 470	-11736517722
SPT(14)	34010847756405181	0 6 22 28 48 58 70 78 90 100 120 126 142 148	688088060
SPT(16)	34010861481200993	0 30 56 78 104 116 134 140 174 180 198 210 236 258 284 314	14412883872
SPT(14)	34010891200204199	0 8 30 54 120 128 140 222 234 242 308 332 354 362	44131887078
SPT(14)	34010909859990907	0 16 42 46 70 76 90 112 126 132 156 160 186 202	62791673786
SPT(14)	34010910638469913	0 10 36 78 88 124 154 180 210 246 256 298 324 334	63570152792