Prime p₀= 22146510564137339 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 16 2 10 2 46 2 40 2 160 2 (?)
a_n: 0 2 18 20 30 32 78 80 120 122 282 284
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: 284
Found by: davidBAM
db: batch=65, k=12, 16 10 46 40 160

SPT(14)	22146481090949473	0 34 40 46 126 130 154 276 300 304 384 390 396 430	-29473187866
TPT(12)	22146485797874699	0 2 18 20 30 32 132 134 162 164 198 200	-24766262640
SPT(14)	22146491221959191	0 20 38 80 90 98 120 140 162 170 180 222 240 260	-19342178148
SPT(14)	22146493723805809	0 4 22 70 108 144 172 210 238 274 312 360 378 382	-16840331530
SPT(14)	22146500183414471	0 2 36 50 72 90 102 116 128 146 168 182 216 218	-10380722868
SPT(14)	22146500434769119	0 10 22 30 52 70 120 154 204 222 244 252 264 274	-10129368220
SPT(16)	22146513040627757	0 12 66 90 92 104 116 150 176 210 222 234 236 260 314 326	2476490418
SPT(14)	22146514806666433	0 16 30 36 58 66 84 130 148 156 178 184 198 214	4242529094
SPT(14)	22146518009770243	0 18 24 66 84 88 96 118 126 130 148 190 196 214	7445632904
SPT(14)	22146523111817317	0 12 24 52 94 114 132 142 160 180 222 250 262 274	12547679978
SPT(14)	22146529122015163	0 6 48 64 66 90 196 228 334 358 360 376 418 424	18557877824