Prime p₀= 2868914143787218727 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 16 2 16 2 52 2 (?)
a_n: 0 2 54 56 72 74 90 92 144 146
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: 146
Found by: Landjunge
db: batch=82, k=10, 2 52 2 16 2

SPT(16)	2868912808006177607	0 26 54 122 176 236 240 266 360 386 390 450 504 572 600 626	-1335781041120
SPT(16)	2868913017632470297	0 10 12 40 42 54 60 84 112 136 142 154 156 184 186 196	-1126154748430
SPT(16)	2868913053006147383	0 56 74 168 174 210 228 266 318 356 374 410 416 510 528 584	-1090781071344
SPT(16)	2868913716766471567	0 34 46 124 142 190 216 342 364 490 516 564 582 660 672 706	-427020747160
SPT(16)	2868913758399145169	0 32 48 74 138 144 192 194 228 230 278 284 348 374 390 422	-385388073558
STPT(10)	2868913820493380741	0 2 6 8 48 50 90 92 96 98	-323293837986
STPT(10)	2868914154894870737	0 2 30 32 72 74 114 116 144 146	11107652010
SPT(16)	2868914179646242951	0 10 16 48 90 108 126 160 168 202 220 238 280 312 318 328	35859024224
STPT(10)	2868914935284157997	0 2 12 14 42 44 72 74 84 86	791496939270
STPT(10)	2868915233057335349	0 2 18 20 30 32 42 44 60 62	1089270116622
SPT(16)	2868915537118716871	0 22 58 60 100 102 120 126 172 178 196 198 238 240 276 298	1393331498144