Prime p₀= 2068613219306844149 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 88 2 28 2 46 2 28 2 88 2 (?)
a_n: 0 2 90 92 120 122 168 170 198 200 288 290
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: 290
Found by: Landjunge
db: batch=80, k=12, 2 88 2 28 2 46

SPT(16)	2068610933539349429	0 2 24 38 54 90 138 140 222 224 272 308 324 338 360 362	-2285767494720
SPT(16)	2068612009095586859	0 14 32 42 62 90 98 150 182 234 242 270 290 300 318 332	-1210211257290
SPT(16)	2068612380324466237	0 6 66 72 106 132 156 192 244 280 304 330 364 370 430 436	-838982377912
STPT(10)	2068612404864824669	0 2 48 50 90 92 132 134 180 182	-814442019480
STPT(10)	2068612610657215277	0 2 54 56 72 74 90 92 144 146	-608649628872
SPT(16)	2068613185838872483	0 30 100 108 118 126 160 178 258 276 310 318 328 336 406 436	-33467971666
STPT(10)	2068613226520603949	0 2 18 20 30 32 42 44 60 62	7213759800
STPT(10)	2068613531195832317	0 2 54 56 72 74 90 92 144 146	311888988168
STPT(10)	2068613776062182507	0 2 30 32 72 74 114 116 144 146	556755338358
STPT(10)	2068613810539379837	0 2 24 26 42 44 60 62 84 86	591232535688
TPT(14)	2068613884612508039	0 2 30 32 42 44 102 104 198 200 288 290 300 302	665305663890