Prime p₀= 1325311303278875399 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 16 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 60 62 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: gemini8
db: batch=77, k=12, 2 10 2 28 2 16

STPT(10)	1325310229711100921	0 2 36 38 78 80 120 122 156 158	-1073567774478
SPT(16)	1325310302636091593	0 8 20 26 48 68 86 104 120 138 156 176 198 204 216 224	-1000642783806
STPT(10)	1325310375982105937	0 2 54 56 72 74 90 92 144 146	-927296769462
STPT(10)	1325310555471968621	0 2 6 8 48 50 90 92 96 98	-747806906778
STPT(10)	1325311019249131529	0 2 18 20 30 32 42 44 60 62	-284029743870
SPT(16)	1325311204079919757	0 72 106 162 172 184 186 210 436 460 462 474 484 540 574 646	-99198955642
SPT(16)	1325311360466903393	0 24 56 78 126 138 150 168 176 194 206 218 266 288 320 344	57188027994
STPT(10)	1325311667822209421	0 2 6 8 48 50 90 92 96 98	364543334022
STPT(10)	1325311793816568557	0 2 24 26 42 44 60 62 84 86	490537693158
STPT(10)	1325311821948157007	0 2 30 32 42 44 54 56 84 86	518669281608
STPT(10)	1325311928999690711	0 2 30 32 78 80 126 128 156 158	625720815312