Prime p₀= 1291124729541738989 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: HenkM
db: batch=77, k=10, 2 16 2 10 2

STPT(12)	1291123694506515971	0 2 36 38 48 50 78 80 90 92 126 128	-1035035223018
STPT(10)	1291123789460682377	0 2 30 32 72 74 114 116 144 146	-940081056612
SPT(16)	1291123885183002287	0 6 30 44 86 92 110 120 146 156 174 180 222 236 260 266	-844358736702
SPT(16)	1291124080781136887	0 36 50 60 96 102 126 150 152 176 200 206 242 252 266 302	-648760602102
SPT(16)	1291124294042974379	0 18 24 42 50 74 80 84 98 102 108 132 140 158 164 182	-435498764610
SPT(16)	1291124546546853751	0 22 28 36 42 76 126 132 166 172 222 256 262 270 276 298	-182994885238
STPT(10)	1291125004357468529	0 2 18 20 30 32 42 44 60 62	274815729540
SPT(16)	1291125850295749889	0 12 24 42 50 72 80 84 110 114 122 144 152 170 182 194	1120754010900
STPT(10)	1291125885551487989	0 2 12 14 90 92 168 170 180 182	1156009749000
STPT(10)	1291126064983622849	0 2 42 44 60 62 78 80 120 122	1335441883860
TPT(14)	1291126217156066909	0 2 48 50 90 92 120 122 132 134 168 170 210 212	1487614327920