Prime p₀= 2353794253191801347 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 16 2 40 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 72 74 90 92 102 104
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: 104
Found by: herby44
db: batch=81, k=12, 2 10 2 16 2 40

SPT(16)	2353793128990202279	0 24 42 44 72 80 90 92 162 164 174 182 210 212 230 254	-1124201599068
SPT(16)	2353793215455828253	0 46 84 94 108 148 150 196 228 274 276 316 330 340 378 424	-1037735973094
TPT(14)	2353793222230175267	0 2 24 26 84 86 120 122 174 176 222 224 330 332	-1030961626080
STPT(10)	2353793430353114801	0 2 6 8 18 20 30 32 36 38	-822838686546
STPT(10)	2353793472985992929	0 2 12 14 90 92 168 170 180 182	-780205808418
STPT(10)	2353793866086879917	0 2 30 32 42 44 54 56 84 86	-387104921430
SPT(16)	2353794427675147573	0 36 54 78 88 90 114 120 124 130 154 156 166 190 208 244	174483346226
STPT(10)	2353794848407559309	0 2 18 20 30 32 42 44 60 62	595215757962
SPT(16)	2353795065819432449	0 18 54 62 102 104 144 152 210 218 258 260 300 308 344 362	812627631102
TPT(14)	2353795185631273799	0 2 30 32 48 50 60 62 228 230 240 242 252 254	932439472452
STPT(10)	2353795376858016977	0 2 30 32 42 44 54 56 84 86	1123666215630