Prime p₀= 68657169845877071 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 4 2 52 2 94 2 22 2 4 2 (?)
a_n: 0 2 6 8 60 62 156 158 180 182 186 188
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: 188
Found by: emoga
db: batch=67, k=12, 4 52 94 22 4

SPT(14)	68657151582864697	0 12 42 46 156 172 196 270 294 310 420 424 454 466	-18263012374
SPT(14)	68657152058952319	0 4 10 22 24 52 64 90 102 130 132 144 150 154	-17786924752
TPT(12)	68657157857287169	0 2 18 20 30 32 78 80 102 104 240 242	-11988589902
SPT(14)	68657157919960523	0 6 30 56 68 104 114 170 180 216 228 254 278 284	-11925916548
SPT(14)	68657161053171247	0 60 72 82 96 130 142 144 156 190 204 214 226 286	-8792705824
TPT(12)	68657168163150557	0 2 72 74 84 86 102 104 144 146 174 176	-1682726514
SPT(14)	68657179937194873	0 36 58 66 76 168 190 246 268 360 370 378 400 436	10091317802
SPT(14)	68657183774685217	0 4 22 40 60 76 82 84 90 106 126 144 162 166	13928808146
SPT(14)	68657190904526921	0 26 30 42 48 72 90 98 116 140 146 158 162 188	21058649850
SPT(14)	68657200322530249	0 42 78 82 108 132 160 210 238 262 288 292 328 370	30476653178
SPT(14)	68657208926446871	0 8 26 42 56 68 78 110 120 132 146 162 180 188	39080569800