Prime p₀= 275798955900197699 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: arkiss
db: batch=69, k=12, 2 28 2 28 2 10

SPT(14)	275798912455070267	0 2 6 26 50 96 110 156 170 216 240 260 264 266	-43445127432
TPT(12)	275798945369147489	0 2 42 44 102 104 132 134 252 254 258 260	-10531050210
SPT(14)	275798947046216819	0 2 24 80 120 122 210 242 330 332 372 428 450 452	-8853980880
SPT(14)	275798955900197657	0 2 30 32 42 44 72 74 102 104 114 116 144 146	-42
STPT(14)	275798955900197657	0 2 30 32 42 44 72 74 102 104 114 116 144 146	-42
TPT(16)	275798955900197657	0 2 30 32 42 44 72 74 102 104 114 116 144 146 174 176	-42
SPT(14)	275798958653646707	0 6 12 30 42 90 96 116 122 170 182 200 206 212	2753449008
SPT(14)	275798969943328441	0 18 42 88 178 180 220 240 280 282 372 418 442 460	14043130742
SPT(14)	275798970821632501	0 48 52 66 112 136 162 166 192 216 262 276 280 328	14921434802
SPT(14)	275798972106398809	0 12 22 60 162 204 208 234 238 280 382 420 430 442	16206201110
STPT(10)	275798982707020439	0 2 18 20 30 32 42 44 60 62	26806822740