Prime p₀= 2112225859098268127 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: Landjunge
db: batch=80, k=10, 2 28 2 10 2

SPT(16)	2112224624077544971	0 10 30 40 46 70 82 112 126 156 168 192 198 208 228 238	-1235020723156
STPT(10)	2112224697025624001	0 2 6 8 18 20 30 32 36 38	-1162072644126
SPT(16)	2112225194308771621	0 6 52 60 118 160 178 210 238 270 288 330 388 396 442 448	-664789496506
SPT(16)	2112225415979828819	0 18 20 48 60 90 102 104 138 140 152 182 194 222 224 242	-443118439308
TPT(14)	2112225578182527947	0 2 72 74 102 104 150 152 234 236 252 254 282 284	-280915740180
STPT(10)	2112225837743901701	0 2 6 8 48 50 90 92 96 98	-21354366426
SPT(16)	2112226011156765341	0 8 32 56 78 102 116 146 162 192 206 230 252 276 300 308	152058497214
STPT(10)	2112226040461311959	0 2 18 20 30 32 42 44 60 62	181363043832
STPT(10)	2112226752524206697	0 2 30 32 42 44 54 56 84 86	893425938570
SPT(16)	2112226792241511191	0 26 60 80 122 152 176 186 302 312 336 366 408 428 462 488	933143243064
SPT(16)	2112227021919663853	0 54 96 144 166 178 180 234 250 304 306 318 340 388 430 484	1162821395726