Prime p₀= 1587617422502002919 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: emoga
db: batch=78, k=10, 2 16 2 10 2

SPT(16)	1587616051590003467	0 26 60 62 84 102 110 156 170 216 224 242 264 266 300 326	-1370911999452
SPT(16)	1587616054809519191	0 116 132 150 158 186 212 216 242 246 272 300 308 326 342 458	-1367692483728
STPT(10)	1587616214293389989	0 2 18 20 60 62 102 104 120 122	-1208208612930
STPT(10)	1587616545210616931	0 2 6 8 48 50 90 92 96 98	-877291385988
SPT(16)	1587617005195703039	0 8 48 54 90 98 158 180 182 204 264 272 308 314 354 362	-417306299880
SPT(16)	1587617415786985993	0 4 34 60 76 138 144 166 168 190 196 258 274 300 330 334	-6715016926
SPT(16)	1587617837547740473	0 18 34 40 118 124 138 150 154 166 180 186 264 270 286 304	415045737554
STPT(10)	1587617936709803027	0 2 12 14 42 44 72 74 84 86	514207800108
STPT(10)	1587617991097483307	0 2 30 32 42 44 54 56 84 86	568595480388
STPT(10)	1587618532659910547	0 2 30 32 42 44 54 56 84 86	1110157907628
SPT(16)	1587618623600299019	0 2 8 44 72 80 90 98 114 122 132 140 168 204 210 212	1201098296100