Prime p₀= 1142974081917026531 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 16 2 10 2 166 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 198 200 210 212 228 230
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: 230
Found by: Putin Has a Small Dick
db: batch=76, k=12, 2 16 2 10 2 166

SPT(16)	1142972943268569827	0 32 42 66 74 150 176 194 252 270 296 372 380 404 414 446	-1138648456704
TPT(14)	1142973329239034309	0 2 78 80 210 212 240 242 258 260 282 284 408 410	-752677992222
SPT(16)	1142973345043063487	0 2 20 24 30 50 66 74 132 140 156 176 182 186 204 206	-736873963044
STPT(10)	1142973347940829157	0 2 30 32 42 44 54 56 84 86	-733976197374
SPT(16)	1142973436143976831	0 18 42 66 142 150 172 258 280 366 388 396 472 496 520 538	-645773049700
STPT(10)	1142973786040700231	0 2 36 38 78 80 120 122 156 158	-295876326300
SPT(16)	1142974304290693727	0 74 86 116 132 140 156 186 350 380 396 404 420 450 462 536	222373667196
SPT(16)	1142974317659911637	0 14 24 66 80 92 104 162 164 222 234 246 260 302 312 326	235742885106
STPT(10)	1142974321649957747	0 2 30 32 42 44 54 56 84 86	239732931216
SPT(16)	1142974342496722301	0 48 62 80 102 132 152 168 170 186 206 236 258 276 290 338	260579695770
SPT(16)	1142974524641294531	0 2 68 86 92 158 162 198 200 236 240 306 312 330 396 398	442724268000