Prime p₀= 2398974363129292589 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 88 2 40 2 34 2 40 2 88 2 (?)
a_n: 0 2 90 92 132 134 168 170 210 212 300 302
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: 302
Found by: JayPi
db: batch=82, k=12, 2 88 2 40 2 34

SPT(16)	2398972230828086561	0 6 32 60 62 140 162 176 186 200 222 300 302 330 356 362	-2132301206028
SPT(16)	2398972432919591279	0 24 44 50 78 84 128 158 174 204 248 254 282 288 308 332	-1930209701310
STPT(10)	2398972715695443617	0 2 30 32 72 74 114 116 144 146	-1647433848972
STPT(10)	2398973446982296661	0 2 78 80 138 140 198 200 276 278	-916146995928
STPT(10)	2398973644098119447	0 2 60 62 72 74 84 86 144 146	-719031173142
SPT(16)	2398973905331908769	0 14 18 20 50 60 68 134 138 204 212 222 252 254 258 272	-457797383820
STPT(10)	2398974497548827461	0 2 6 8 48 50 90 92 96 98	134419534872
STPT(10)	2398974782801187359	0 2 18 20 30 32 42 44 60 62	419671894770
SPT(16)	2398974935489091649	0 34 70 148 154 184 210 214 228 232 258 288 294 372 408 442	572359799060
STPT(10)	2398975087526413997	0 2 12 14 42 44 72 74 84 86	724397121408
SPT(16)	2398976077284472277	0 20 42 114 180 194 204 230 246 272 282 296 362 434 456 476	1714155179688