Prime p₀= 347337506271337871 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 76 2 10 2 34 2 82 2 76 2 (?)
a_n: 0 2 78 80 90 92 126 128 210 212 288 290
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: 290
Found by: nenym
db: batch=70, k=12, 76 10 34 82 76

SPT(14)	347337432057311741	0 2 6 30 36 48 62 156 170 182 188 212 216 218	-74214026130
SPT(16)	347337452100278681	0 6 20 66 86 110 116 152 186 222 228 252 272 318 332 338	-54171059190
SPT(14)	347337457245236219	0 14 60 80 84 104 110 138 144 164 168 188 234 248	-49026101652
SPT(14)	347337470437523249	0 8 14 50 54 68 140 228 300 314 318 354 360 368	-35833814622
SPT(14)	347337488419537939	0 12 58 72 114 130 144 178 192 208 250 264 310 322	-17851799932
SPT(14)	347337488963578291	0 28 58 100 136 142 168 190 216 222 258 300 330 358	-17307759580
SPT(14)	347337526007359049	0 8 18 84 110 170 204 218 252 312 338 404 414 422	19736021178
TPT(12)	347337534004867421	0 2 30 32 36 38 96 98 156 158 240 242	27733529550
SPT(14)	347337543002662507	0 16 22 42 60 66 72 94 100 106 124 144 150 166	36731324636
SPT(14)	347337552857522179	0 24 72 120 148 172 184 198 210 234 262 310 358 382	46586184308
SPT(14)	347337553630953779	0 32 48 90 98 150 164 168 182 234 242 284 300 332	47359615908