Prime p₀= 1268595124223861279 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 62
Found by: Megacruncher
db: batch=77, k=10, 2 16 2 10 2

SPT(16)	1268593863867033227	0 14 24 54 60 80 102 116 150 164 186 206 212 242 252 266	-1260356828052
STPT(10)	1268594094427802027	0 2 54 56 72 74 90 92 144 146	-1029796059252
STPT(10)	1268594406550695617	0 2 30 32 42 44 54 56 84 86	-717673165662
TPT(14)	1268594729908378181	0 2 78 80 126 128 138 140 150 152 156 158 180 182	-394315483098
STPT(10)	1268594908420872377	0 2 72 74 102 104 132 134 204 206	-215802988902
STPT(10)	1268595084905471987	0 2 42 44 72 74 102 104 144 146	-39318389292
STPT(10)	1268595409107963017	0 2 54 56 72 74 90 92 144 146	284884101738
SPT(16)	1268595524594815049	0 2 8 14 50 54 72 90 92 110 128 132 168 174 180 182	400370953770
STPT(10)	1268595847555125077	0 2 42 44 102 104 162 164 204 206	723331263798
SPT(16)	1268596310053924541	0 6 50 96 158 180 188 198 200 210 218 240 302 348 392 398	1185830063262
STPT(10)	1268596710524692091	0 2 6 8 48 50 90 92 96 98	1586300830812