Prime p₀= 2403445506349661069 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 28 2 10 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 72 74 102 104 132 134
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: JayPi
db: batch=82, k=12, 2 28 2 28 2 10

SPT(16)	2403443136526655959	0 22 42 72 84 94 108 124 138 154 168 178 190 220 240 262	-2369823005110
SPT(16)	2403443810360184239	0 42 48 60 62 72 74 104 138 168 170 180 182 194 200 242	-1695989476830
SPT(16)	2403443826869806373	0 74 80 86 120 144 168 248 456 536 560 584 618 624 630 704	-1679479854696
SPT(16)	2403443937559609447	0 16 70 94 112 114 130 142 144 156 172 174 192 216 270 286	-1568790051622
STPT(10)	2403444817165591007	0 2 30 32 42 44 54 56 84 86	-689184070062
SPT(16)	2403445073891935783	0 6 24 34 36 84 120 178 216 274 310 358 360 370 388 394	-432457725286
SPT(16)	2403445517323103629	0 22 28 48 60 112 148 150 190 192 228 280 292 312 318 340	10973442560
STPT(10)	2403445532662382249	0 2 18 20 30 32 42 44 60 62	26312721180
STPT(10)	2403445921028938571	0 2 30 32 60 62 90 92 120 122	414679277502
STPT(10)	2403446790499906511	0 2 6 8 48 50 90 92 96 98	1284150245442
STPT(10)	2403447206309139041	0 2 6 8 18 20 30 32 36 38	1699959477972