Prime p₀= 303864645634426727 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 40 2 34 2 22 2 16 2 (?)
a_n: 0 2 12 14 54 56 90 92 114 116 132 134
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: 134
Found by: scrap
db: batch=69, k=12, 10 40 34 22 16

SPT(14)	303864535019265887	0 24 32 36 44 60 102 104 146 162 170 174 182 206	-110615160840
SPT(14)	303864573873330523	0 48 78 96 106 148 154 180 186 228 238 256 286 334	-71761096204
SPT(14)	303864575798208539	0 24 48 78 98 170 204 218 252 324 344 374 398 422	-69836218188
SPT(14)	303864578174150057	0 32 56 84 86 114 116 120 122 150 152 180 204 236	-67460276670
SPT(14)	303864589495871269	0 52 54 82 108 118 130 132 144 154 180 208 210 262	-56138555458
SPT(16)	303864629131683619	0 28 30 42 58 70 82 130 180 228 240 252 268 280 282 310	-16502743108
SPT(14)	303864652209464429	0 68 80 90 108 182 194 228 240 314 332 342 354 422	6575037702
TPT(12)	303864665260287869	0 2 48 50 78 80 132 134 150 152 168 170	19625861142
TPT(12)	303864673180127921	0 2 30 32 78 80 96 98 108 110 120 122	27545701194
SPT(14)	303864710602421389	0 12 18 82 88 120 142 150 172 204 210 274 280 292	64967994662
SPT(14)	303864779502875519	0 90 92 102 174 188 210 242 264 278 350 360 362 452	133868448792