Prime p₀= 2858223267994940939 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 76 2 76 2 40 2 (?)
a_n: 0 2 42 44 120 122 198 200 240 242
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: 242
Found by: Ben
db: batch=82, k=10, 2 40 2 76 2

SPT(16)	2858222230392040469	0 48 72 90 114 122 128 132 140 144 150 158 182 200 224 272	-1037602900470
SPT(16)	2858222902140368717	0 12 36 44 66 122 146 174 212 240 264 320 342 350 374 386	-365854572222
SPT(16)	2858222910824189719	0 4 12 40 52 54 90 130 132 172 208 210 222 250 258 262	-357170751220
STPT(10)	2858222949156467237	0 2 42 44 72 74 102 104 144 146	-318838473702
TPT(14)	2858223130944376211	0 2 18 20 126 128 210 212 228 230 258 260 366 368	-137050564728
STPT(10)	2858223183482021627	0 2 30 32 42 44 54 56 84 86	-84512919312
STPT(10)	2858223577082721047	0 2 30 32 72 74 114 116 144 146	309087780108
SPT(16)	2858224450592958319	0 12 22 52 124 160 162 190 222 250 252 288 360 390 400 412	1182598017380
SPT(16)	2858224516072779551	0 26 96 120 126 152 210 222 260 272 330 356 362 386 456 482	1248077838612
SPT(16)	2858224632482044127	0 84 134 152 194 240 242 252 254 264 266 312 354 372 422 506	1364487103188
SPT(13)	2858225118532529093	0 36 66 90 96 126 150 174 204 210 234 264 300	1850537588154