Prime p₀= 2328620621140852229 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 4 2 22 2 4 2 40 2 (?)
a_n: 0 2 42 44 48 50 72 74 78 80 120 122
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: 122
Found by: Orange Kid
db: batch=81, k=12, 2 40 2 4 2 22

STPT(10)	2328618465537875057	0 2 30 32 42 44 54 56 84 86	-2155602977172
SPT(16)	2328619557462183991	0 12 18 42 66 132 136 148 150 162 166 232 256 280 286 298	-1063678668238
SPT(16)	2328619737687947941	0 40 46 52 70 90 150 156 196 202 262 282 300 306 312 352	-883452904288
STPT(10)	2328619987629974219	0 2 18 20 30 32 42 44 60 62	-633510878010
STPT(10)	2328620330311125197	0 2 12 14 42 44 72 74 84 86	-290829727032
SPT(16)	2328620514214485961	0 10 16 66 70 78 96 100 108 112 130 138 142 192 198 208	-106926366268
STPT(10)	2328620744643578051	0 2 6 8 18 20 30 32 36 38	123502725822
SPT(16)	2328620859005673437	0 6 20 30 60 86 116 122 150 156 186 212 242 252 266 272	237864821208
STPT(10)	2328620941318330829	0 2 18 20 60 62 102 104 120 122	320177478600
SPT(16)	2328621100384370887	0 12 96 130 166 186 196 214 222 240 250 270 306 340 424 436	479243518658
SPT(16)	2328621769306590427	0 46 60 64 82 124 160 174 202 216 252 294 312 316 330 376	1148165738198