Prime p₀= 2538224052836189657 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 16 2 22 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 84 86 102 104 144 146
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: 146
Found by: arkiss
db: batch=82, k=12, 2 40 2 16 2 22

STPT(10)	2538222446116829411	0 2 36 38 78 80 120 122 156 158	-1606719360246
SPT(16)	2538222536318165783	0 6 20 56 60 66 84 98 126 140 158 164 168 204 218 224	-1516518023874
STPT(10)	2538222722560135937	0 2 30 32 42 44 54 56 84 86	-1330276053720
STPT(10)	2538223014534056807	0 2 12 14 42 44 72 74 84 86	-1038302132850
TPT(14)	2538223489062858557	0 2 30 32 42 44 102 104 162 164 210 212 240 242	-563773331100
SPT(16)	2538224024639666287	0 16 22 52 60 100 106 112 144 150 156 196 204 234 240 256	-28196523370
STPT(10)	2538224098187354711	0 2 36 38 78 80 120 122 156 158	45351165054
SPT(16)	2538224622112803889	0 18 24 40 58 94 102 124 198 220 228 264 282 298 304 322	569276614232
SPT(16)	2538224783378904331	0 18 28 40 70 88 132 138 160 166 210 228 258 270 280 298	730542714674
SPT(16)	2538225215394229601	0 32 50 56 102 128 158 188 240 270 300 326 372 378 396 428	1162558039944
STPT(10)	2538225223897968767	0 2 30 32 42 44 54 56 84 86	1171061779110