Prime p₀= 2580735341484372071 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 28 2 34 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 96 98 126 128 156 158
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: 158
Found by: [SG-FC] hl
db: batch=82, k=12, 2 28 2 28 2 34

SPT(16)	2580735039683670469	0 42 88 90 138 288 292 318 484 510 514 664 712 714 760 802	-301800701602
SPT(16)	2580735058914853591	0 10 60 66 70 72 102 126 136 160 190 192 196 202 252 262	-282569518480
STPT(10)	2580735114529540061	0 2 30 32 60 62 90 92 120 122	-226954832010
SPT(16)	2580735158476472131	0 10 66 78 138 168 190 198 220 228 250 280 340 352 408 418	-183007899940
STPT(10)	2580735219219820841	0 2 6 8 48 50 90 92 96 98	-122264551230
STPT(10)	2580735289635599849	0 2 18 20 30 32 42 44 60 62	-51848772222
TPT(14)	2580735621403987379	0 2 48 50 138 140 192 194 210 212 222 224 258 260	279919615308
STPT(10)	2580735623019379961	0 2 36 38 78 80 120 122 156 158	281535007890
STPT(10)	2580735658427965007	0 2 54 56 72 74 90 92 144 146	316943592936
STPT(10)	2580735802919327699	0 2 48 50 60 62 72 74 120 122	461434955628
SPT(16)	2580735995914488289	0 12 34 52 54 114 132 154 180 202 220 280 282 300 322 334	654430116218