Prime p₀= 2350110480777055781 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: herby44
db: batch=81, k=10, 2 34 2 40 2

SPT(16)	2350109076656807933	0 24 68 90 96 108 126 134 150 158 176 188 194 216 260 284	-1404120247848
STPT(10)	2350109256928603697	0 2 90 92 102 104 114 116 204 206	-1223848452084
STPT(10)	2350109507689299869	0 2 42 44 60 62 78 80 120 122	-973087755912
SPT(16)	2350110064232065043	0 20 30 38 60 74 80 146 168 234 240 254 276 284 294 314	-416544990738
SPT(16)	2350110108340953169	0 22 24 72 102 144 148 162 220 234 238 280 310 358 360 382	-372436102612
SPT(16)	2350110457867412411	0 36 42 78 86 110 120 122 306 308 318 342 350 386 392 428	-22909643370
SPT(16)	2350110636868176331	0 42 48 88 130 142 160 210 220 270 288 300 342 382 388 430	156091120550
SPT(16)	2350110697181436251	0 32 56 90 96 102 116 138 200 222 236 242 248 282 306 338	216404380470
STPT(10)	2350110990090714671	0 2 6 8 18 20 30 32 36 38	509313658890
SPT(16)	2350111215951551527	0 76 114 124 132 150 180 192 244 256 286 304 312 322 360 436	735174495746
SPT(18)	2350111362039534089	0 2 14 72 128 168 194 198 240 302 344 348 374 414 470 528 540 542	881262478308