Prime p₀= 3034509560966855999 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: [SG]ATA-Rolf
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	3034507504578922061	0 126 156 170 188 210 216 270 326 380 386 408 426 440 470 596	-2056387933938
SPT(16)	3034507515772500709	0 18 22 84 102 172 174 190 222 238 240 310 328 390 394 412	-2045194355290
SPT(16)	3034507674846775747	0 16 42 60 76 90 124 142 144 162 196 210 226 244 270 286	-1886120080252
STPT(10)	3034507747717264961	0 2 6 8 18 20 30 32 36 38	-1813249591038
TPT(14)	3034508077906890251	0 2 18 20 36 38 60 62 78 80 120 122 168 170	-1483059965748
SPT(16)	3034509482859893021	0 36 42 62 90 96 146 152 210 216 266 272 300 320 326 362	-78106962978
STPT(10)	3034510045560592481	0 2 36 38 78 80 120 122 156 158	484593736482
STPT(10)	3034510259403240557	0 2 30 32 60 62 90 92 120 122	698436384558
STPT(10)	3034510361938722851	0 2 30 32 60 62 90 92 120 122	800971866852
SPT(13)	3034510362971816213	0 6 30 60 66 90 150 210 234 240 270 294 300	802004960214
STPT(10)	3034510381304750441	0 2 36 38 78 80 120 122 156 158	820337894442