Prime p₀= 7409991773696087 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 10 2 76 2 52 2 34 2 (?)
a_n: 0 2 30 32 42 44 120 122 174 176 210 212
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: 212
Found by: crashtech
db: batch=62, k=12, 28 10 76 52 34

SPT(14)	7409952203914373	0 36 44 60 84 120 150 170 200 236 260 276 284 320	-39569781714
TPT(12)	7409972860698929	0 2 48 50 108 110 120 122 180 182 210 212	-18912997158
SPT(14)	7409973043137283	0 28 36 54 78 90 120 124 154 166 190 208 216 244	-18730558804
SPT(14)	7409976268828663	0 4 6 10 18 36 76 78 118 136 144 148 150 154	-15504867424
SPT(14)	7409980207150811	0 8 36 56 78 80 86 90 96 98 120 140 168 176	-11566545276
TPT(12)	7409986446384419	0 2 30 32 42 44 72 74 78 80 120 122	-5327311668
SPT(14)	7409995169601319	0 40 42 72 88 102 130 192 220 234 250 280 282 322	3395905232
SPT(14)	7410012509951593	0 36 48 64 70 76 94 150 168 174 180 196 208 244	20736255506
SPT(14)	7410014580605929	0 10 42 78 118 162 168 172 178 222 262 298 330 340	22806909842
STPT(10)	7410022388345921	0 2 36 38 78 80 120 122 156 158	30614649834
SPT(14)	7410027213225449	0 54 60 120 150 158 168 194 204 212 242 302 308 362	35439529362