Prime p₀= 261337661311505507 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 40 2 10 2 28 2 94 2 40 2 (?)
a_n: 0 2 42 44 54 56 84 86 180 182 222 224
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: 224
Found by: Roadranner
db: batch=69, k=12, 40 10 28 94 40

SPT(14)	261337601503080841	0 18 60 88 100 142 180 190 228 270 282 310 352 370	-59808424666
SPT(14)	261337608520487089	0 22 24 30 34 42 52 90 100 108 112 118 120 142	-52791018418
TPT(14)	261337609640968829	0 2 48 50 132 134 138 140 192 194 210 212 222 224	-51670536678
STPT(10)	261337625928966869	0 2 42 44 60 62 78 80 120 122	-35382538638
SPT(14)	261337644989664839	0 12 44 50 68 72 78 134 140 144 162 168 200 212	-16321840668
SPT(14)	261337655762210389	0 10 24 42 52 84 90 154 160 192 202 220 234 244	-5549295118
SPT(14)	261337669511918017	0 6 16 36 102 130 142 144 156 184 250 270 280 286	8200412510
SPT(16)	261337695634125457	0 22 40 54 72 90 100 112 132 144 154 172 190 204 222 244	34322619950
SPT(14)	261337722605974361	0 8 18 32 72 78 102 158 182 188 228 242 252 260	61294468854
SPT(14)	261337725643717757	0 26 42 62 80 146 182 234 270 336 354 374 390 416	64332212250
SPT(14)	261337729832395243	0 30 60 66 70 114 130 180 196 240 244 250 280 310	68520889736