Prime p₀= 2320658133331722101 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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: Landjunge
db: batch=81, k=10, 2 28 2 46 2

SPT(16)	2320657248690518189	0 2 12 18 44 60 78 134 138 194 212 228 254 260 270 272	-884641203912
SPT(16)	2320657276165421371	0 12 16 28 36 66 72 78 100 106 112 142 150 162 166 178	-857166300730
SPT(16)	2320657571266566149	0 8 18 30 44 78 80 98 234 252 254 288 302 314 324 332	-562065155952
SPT(16)	2320657579378227499	0 4 64 100 124 130 142 168 244 270 282 288 312 348 408 412	-553953494602
STPT(12)	2320657770360196637	0 2 42 44 60 62 84 86 102 104 144 146	-362971525464
SPT(16)	2320657852666031773	0 10 48 58 76 90 126 136 198 208 244 258 276 286 324 334	-280665690328
STPT(10)	2320658729884978001	0 2 36 38 78 80 120 122 156 158	596553255900
STPT(10)	2320659223762902707	0 2 24 26 42 44 60 62 84 86	1090431180606
SPT(16)	2320659314585007911	0 8 42 50 78 110 132 138 212 218 240 272 300 308 342 350	1181253285810
SPT(16)	2320659406119409193	0 44 54 68 80 108 150 158 276 284 326 354 366 380 390 434	1272787687092
TPT(14)	2320659662228356907	0 2 210 212 300 302 402 404 474 476 540 542 570 572	1528896634806