Prime p₀= 261349452145414361 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 64 2 10 2 28 2 10 2 4 2 (?)
a_n: 0 2 66 68 78 80 108 110 120 122 126 128
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: 128
Found by: paulteo
db: batch=69, k=12, 64 10 28 10 4

SPT(14)	261349402939997201	0 18 20 56 86 98 188 240 330 342 372 408 410 428	-49205417160
TPT(12)	261349403526590711	0 2 36 38 78 80 90 92 126 128 138 140	-48618823650
SPT(14)	261349419608857781	0 6 48 60 66 108 116 210 218 260 266 278 320 326	-32536556580
TPT(12)	261349425408462491	0 2 6 8 78 80 90 92 156 158 258 260	-26736951870
SPT(16)	261349439067123053	0 14 20 54 86 96 104 206 264 366 374 384 416 450 456 470	-13078291308
SPT(14)	261349446297673411	0 16 30 40 60 88 96 130 138 166 186 196 210 226	-5847740950
SPT(14)	261349485529789441	0 10 12 46 66 72 78 130 136 142 162 196 198 208	33384375080
TPT(12)	261349487315186111	0 2 18 20 78 80 90 92 186 188 240 242	35169771750
TPT(12)	261349489945587011	0 2 36 38 126 128 138 140 180 182 210 212	37800172650
SPT(14)	261349493737601891	0 30 32 42 110 128 152 198 222 240 308 318 320 350	41592187530
SPT(14)	261349507683435317	0 32 54 60 80 84 174 242 332 336 356 362 384 416	55538020956