Prime p₀= 2322136468309117259 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 16 2 10 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 72 74 90 92 132 134
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: 134
Found by: Orange Kid
db: batch=81, k=12, 2 40 2 16 2 10

STPT(10)	2322135657220700639	0 2 42 44 90 92 138 140 180 182	-811088416620
SPT(16)	2322135747905601713	0 8 26 38 78 86 108 116 120 128 150 158 198 210 228 236	-720403515546
SPT(16)	2322135776144541667	0 6 22 34 36 84 144 154 162 172 232 280 282 294 310 316	-692164575592
TPT(14)	2322135900141886319	0 2 30 32 72 74 78 80 108 110 192 194 402 404	-568167230940
STPT(10)	2322135912115112867	0 2 42 44 72 74 102 104 144 146	-556194004392
SPT(16)	2322135984871993033	0 24 30 58 204 220 234 256 258 280 294 310 456 484 490 514	-483437124226
SPT(16)	2322136511431934537	0 6 26 42 90 92 96 114 152 170 174 176 224 240 260 266	43122817278
STPT(10)	2322136701248968697	0 2 30 32 60 62 90 92 120 122	232939851438
STPT(10)	2322137167428247199	0 2 18 20 30 32 42 44 60 62	699119129940
SPT(16)	2322137425358473171	0 30 70 72 88 102 106 130 168 192 196 210 226 228 268 298	957049355912
STPT(10)	2322137426677881077	0 2 42 44 72 74 102 104 144 146	958368763818