Prime p₀= 1979365561143792557 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 52 2 64 2 52 2 28 2 (?)
a_n: 0 2 30 32 84 86 150 152 204 206 234 236
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: 236
Found by: JonS
db: batch=80, k=12, 2 28 2 52 2 64

SPT(16)	1979364855573077107	0 6 42 84 102 132 136 150 256 270 274 304 322 364 400 406	-705570715450
TPT(14)	1979365154328349679	0 2 90 92 168 170 210 212 222 224 378 380 390 392	-406815442878
SPT(16)	1979365197912703687	0 6 106 120 160 186 196 210 262 276 286 312 352 366 466 472	-363231088870
STPT(10)	1979365229741674121	0 2 6 8 48 50 90 92 96 98	-331402118436
SPT(16)	1979365245220891279	0 30 34 48 94 100 138 168 190 220 258 264 310 324 328 358	-315922901278
SPT(16)	1979365538510390519	0 24 38 42 74 144 152 164 168 180 188 258 290 294 308 332	-22633402038
STPT(10)	1979365564901602061	0 2 30 32 60 62 90 92 120 122	3757809504
STPT(12)	1979366102757120359	0 2 72 74 78 80 162 164 168 170 240 242	541613327802
STPT(10)	1979366865399117191	0 2 6 8 48 50 90 92 96 98	1304255324634
SPT(16)	1979367305689850249	0 12 20 42 50 60 62 68 132 138 140 150 158 180 188 200	1744546057692
STPT(10)	1979367428386733261	0 2 30 32 60 62 90 92 120 122	1867242940704