Prime p₀= 10573109670959369 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 16 2 52 2 154 2 10 2 130 2 (?)
a_n: 0 2 18 20 72 74 228 230 240 242 372 374
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: 374
Found by: Nosferatu*
db: batch=62, k=12, 16 52 154 10 130

SPT(16)	10573059292177951	0 6 52 72 76 90 106 108 160 162 178 192 196 216 262 268	-50378781418
SPT(14)	10573061662008137	0 24 42 54 62 84 90 116 122 144 152 164 182 206	-48008951232
SPT(14)	10573093833250297	0 4 6 52 82 84 96 130 142 144 174 220 222 226	-15837709072
TPT(12)	10573104657427679	0 2 12 14 42 44 108 110 120 122 180 182	-5013531690
TPT(12)	10573106622620609	0 2 60 62 72 74 138 140 168 170 222 224	-3048338760
SPT(14)	10573107055880723	0 8 44 54 78 90 96 128 134 146 170 180 216 224	-2615078646
SPT(14)	10573123702455383	0 18 98 104 114 128 146 168 186 200 210 216 296 314	14031496014
SPT(14)	10573138582653763	0 4 6 18 64 70 106 138 174 180 226 238 240 244	28911694394
TPT(12)	10573142084592251	0 2 90 92 180 182 300 302 360 362 390 392	32413632882
SPT(14)	10573142400670279	0 24 30 34 42 112 150 184 222 292 300 304 310 334	32729710910
SPT(14)	10573146973397497	0 34 42 82 90 100 102 112 114 124 132 172 180 214	37302438128