Prime p₀= 231707161365748949 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 70 2 34 2 28 2 40 2 10 2 (?)
a_n: 0 2 72 74 108 110 138 140 180 182 192 194
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: 194
Found by: gaballus
db: batch=69, k=12, 70 34 28 40 10

SPT(14)	231707064613269923	0 14 98 104 126 144 150 164 170 188 210 216 300 314	-96752479026
TPT(12)	231707072837725337	0 2 24 26 84 86 114 116 210 212 222 224	-88528023612
TPT(12)	231707073663405671	0 2 48 50 78 80 90 92 126 128 216 218	-87702343278
SPT(14)	231707091037726621	0 6 16 28 30 36 58 78 100 106 108 120 130 136	-70328022328
SPT(14)	231707094012998209	0 12 22 30 34 72 84 118 130 168 172 180 190 202	-67352750740
SPT(14)	231707094383552153	0 14 18 80 108 114 134 234 254 260 288 350 354 368	-66982196796
SPT(14)	231707181663734687	0 60 102 122 144 192 264 290 362 410 432 452 494 554	20297985738
STPT(10)	231707181777638261	0 2 36 38 78 80 120 122 156 158	20411889312
SPT(16)	231707185930855421	0 2 30 72 96 98 128 138 140 150 180 182 206 248 276 278	24565106472
SPT(14)	231707209970909149	0 10 12 28 42 60 78 112 130 148 162 178 180 190	48605160200
SPT(14)	231707223797296957	0 10 12 72 94 114 124 150 160 180 202 262 264 274	62431548008