Prime p₀= 2878522789823417951 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 58 2 34 2 58 2 28 2 (?)
a_n: 0 2 30 32 90 92 126 128 186 188 216 218
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: 218
Found by: fzs600
db: batch=82, k=12, 2 28 2 58 2 34

SPT(16)	2878520415935073181	0 42 52 90 108 130 150 172 198 220 240 262 280 318 328 370	-2373888344770
STPT(10)	2878520518901418449	0 2 42 44 60 62 78 80 120 122	-2270921999502
STPT(10)	2878520630631032069	0 2 42 44 90 92 138 140 180 182	-2159192385882
STPT(10)	2878520885049272129	0 2 42 44 120 122 198 200 240 242	-1904774145822
SPT(16)	2878520907865696141	0 10 28 58 88 100 102 112 168 178 180 192 222 252 270 280	-1881957721810
STPT(10)	2878521473170233509	0 2 12 14 90 92 168 170 180 182	-1316653184442
STPT(10)	2878523411093402921	0 2 30 32 60 62 90 92 120 122	621269984970
STPT(10)	2878523767234993061	0 2 30 32 60 62 90 92 120 122	977411575110
TPT(14)	2878523861748546299	0 2 138 140 210 212 252 254 288 290 378 380 462 464	1071925128348
SPT(16)	2878523985829811609	0 30 54 68 78 80 132 140 162 170 222 224 234 248 272 302	1196006393658
STPT(10)	2878524121960289951	0 2 36 38 78 80 120 122 156 158	1332136872000