Prime p₀= 2938277198606870357 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 16 2 22 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 54 56 72 74 84 86
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: 86
Found by: Roadranner
db: batch=82, k=12, 2 10 2 16 2 22

STPT(10)	2938276619826569849	0 2 42 44 60 62 78 80 120 122	-578780300508
SPT(16)	2938276863759502709	0 48 72 80 90 122 134 182 240 288 300 332 342 350 374 422	-334847367648
STPT(10)	2938276886628680279	0 2 12 14 90 92 168 170 180 182	-311978190078
STPT(10)	2938276920697699037	0 2 30 32 72 74 114 116 144 146	-277909171320
SPT(16)	2938277027016941177	0 36 42 60 80 140 156 162 200 206 222 282 302 320 326 362	-171589929180
TPT(14)	2938277187548438837	0 2 24 26 54 56 90 92 132 134 192 194 210 212	-11058431520
SPT(16)	2938277226553914569	0 18 74 108 120 150 162 168 224 230 242 272 284 318 374 392	27947044212
STPT(10)	2938277247822991757	0 2 42 44 72 74 102 104 144 146	49216121400
STPT(10)	2938277369324864027	0 2 24 26 42 44 60 62 84 86	170717993670
STPT(10)	2938277490564436169	0 2 30 32 120 122 210 212 240 242	291957565812
SPT(16)	2938277562382225753	0 4 40 48 78 88 96 118 126 148 156 166 196 204 240 244	363775355396