Prime p₀= 576894303813804287 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 82 2 64 2 22 2 16 2 40 2 (?)
a_n: 0 2 84 86 150 152 174 176 192 194 234 236
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: 236
Found by: Tomáš Brada
db: batch=71, k=12, 82 64 22 16 40

SPT(14)	576894167857020701	0 30 62 90 98 102 108 122 128 132 140 168 200 230	-135956783586
SPT(14)	576894199937373463	0 18 28 66 70 88 96 160 168 186 190 228 238 256	-103876430824
SPT(14)	576894255574353281	0 12 42 50 60 80 116 126 162 182 192 200 230 242	-48239451006
SPT(14)	576894257178980821	0 12 70 72 82 106 112 126 132 156 166 168 226 238	-46634823466
SPT(14)	576894264342503791	0 10 28 36 66 78 112 126 160 172 202 210 228 238	-39471300496
SPT(14)	576894272220819713	0 30 44 56 68 80 114 140 174 186 198 210 224 254	-31592984574
SPT(14)	576894340342061191	0 6 22 42 52 76 88 90 102 126 136 156 172 178	36528256904
SPT(14)	576894342638019949	0 4 28 48 100 190 202 210 222 312 364 384 408 412	38824215662
SPT(14)	576894352274361041	0 8 56 90 138 170 198 200 228 260 308 342 390 398	48460556754
SPT(14)	576894387256893581	0 12 38 78 126 140 176 252 288 302 350 390 416 428	83443089294
SPT(14)	576894402615367589	0 12 32 60 78 114 120 152 158 194 212 240 260 272	98801563302