Prime p₀= 3035313503965535459 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: 122
Found by: [SG-2W]Kurzer
db: batch=82, k=10, 2 16 2 40 2

STPT(10)	3035311825511922557	0 2 12 14 42 44 72 74 84 86	-1678453612902
TPT(14)	3035312215918162907	0 2 24 26 42 44 72 74 180 182 270 272 312 314	-1288047372552
SPT(16)	3035312664280947067	0 6 24 66 136 142 154 156 220 222 234 240 310 352 370 376	-839684588392
STPT(10)	3035312806781310149	0 2 48 50 90 92 132 134 180 182	-697184225310
SPT(16)	3035312839003978021	0 12 42 58 76 82 118 132 166 180 216 222 240 256 286 298	-664961557438
STPT(10)	3035313299783381567	0 2 30 32 42 44 54 56 84 86	-204182153892
SPT(16)	3035313739643707127	0 12 20 26 56 62 86 114 152 180 204 210 240 246 254 266	235678171668
SPT(16)	3035313811757627749	0 42 70 114 138 150 172 174 178 180 202 214 238 282 310 352	307792092290
STPT(10)	3035314100644647761	0 2 36 38 78 80 120 122 156 158	596679112302
SPT(16)	3035314354379360393	0 14 98 126 140 168 194 224 270 300 326 354 368 396 480 494	850413824934
SPT(16)	3035314395341309273	0 26 66 96 114 128 134 140 234 240 246 260 278 308 348 374	891375773814