Prime p₀= 237482183873260769 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 16 2 22 2 4 2 52 2 28 2 (?)
a_n: 0 2 18 20 42 44 48 50 102 104 132 134
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: 134
Found by: emoga
db: batch=69, k=12, 16 22 4 52 28

SPT(16)	237482146641777143	0 8 36 68 78 80 110 138 236 264 294 296 306 338 366 374	-37231483626
TPT(12)	237482148913073849	0 2 72 74 78 80 168 170 180 182 222 224	-34960186920
SPT(16)	237482157843137149	0 4 12 24 54 82 120 130 144 154 192 220 250 262 270 274	-26030123620
STPT(10)	237482173233705479	0 2 48 50 60 62 72 74 120 122	-10639555290
SPT(14)	237482178901401127	0 16 52 66 72 82 96 100 114 124 130 144 180 196	-4971859642
SPT(14)	237482181965731177	0 52 82 112 154 166 172 264 270 282 324 354 384 436	-1907529592
SPT(14)	237482185041975931	0 18 28 40 70 78 102 148 172 180 210 222 232 250	1168715162
SPT(14)	237482186079212729	0 20 54 78 92 102 162 200 260 270 284 308 342 362	2205951960
TPT(12)	237482193933625931	0 2 6 8 78 80 90 92 120 122 180 182	10060365162
SPT(14)	237482202964062937	0 52 72 84 112 130 144 310 324 342 370 382 402 454	19090802168
SPT(14)	237482205525021929	0 2 8 42 50 54 90 92 128 132 140 174 180 182	21651761160