Prime p₀= 234574715739010811 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 4 2 40 2 88 2 10 2 16 2 (?)
a_n: 0 2 6 8 48 50 138 140 150 152 168 170
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: 170
Found by: Megacruncher
db: batch=69, k=12, 4 40 88 10 16

SPT(14)	234574576321789777	0 42 66 112 120 132 150 166 184 196 204 250 274 316	-139417221034
SPT(14)	234574588255049989	0 18 34 58 60 144 150 238 244 328 330 354 370 388	-127483960822
SPT(14)	234574599502631321	0 8 30 38 48 92 110 150 168 212 222 230 252 260	-116236379490
SPT(14)	234574613363498659	0 10 18 28 34 60 94 174 208 234 240 250 258 268	-102375512152
TPT(12)	234574637842776587	0 2 12 14 30 32 54 56 102 104 144 146	-77896234224
SPT(14)	234574656729586343	0 8 24 30 66 78 98 186 206 218 254 260 276 284	-59009424468
SPT(14)	234574735215035909	0 38 42 78 80 134 144 158 168 222 224 260 264 302	19476025098
TPT(12)	234574738136482397	0 2 90 92 132 134 162 164 174 176 234 236	22397471586
SPT(16)	234574748728592761	0 16 40 42 52 58 66 102 136 172 180 186 196 198 222 238	32989581950
SPT(14)	234574748905379461	0 22 106 138 208 222 252 316 346 360 430 462 546 568	33166368650
SPT(14)	234574756672216157	0 14 36 44 84 86 116 120 150 152 192 200 222 236	40933205346