Prime p₀= 2866355135996047097 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 82 2 46 2 46 2 82 2 (?)
a_n: 0 2 84 86 132 134 180 182 264 266
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: 266
Found by: Landjunge
db: batch=82, k=10, 2 82 2 46 2

SPT(16)	2866353605272646249	0 12 54 90 132 182 230 264 278 312 360 410 452 488 530 542	-1530723400848
SPT(16)	2866354164511799257	0 30 76 112 126 150 156 162 184 190 196 220 234 270 316 346	-971484247840
SPT(16)	2866354312472206211	0 8 38 50 68 126 162 192 206 236 272 330 348 360 390 398	-823523840886
STPT(10)	2866354461380709917	0 2 60 62 102 104 144 146 204 206	-674615337180
STPT(10)	2866354735618942157	0 2 42 44 72 74 102 104 144 146	-400377104940
SPT(16)	2866354862463758507	0 20 32 56 86 116 134 150 266 282 300 330 360 384 396 416	-273532288590
SPT(16)	2866355154347391943	0 88 90 108 136 144 148 178 186 216 220 228 256 274 276 364	18351344846
SPT(16)	2866355372578787809	0 18 40 48 90 100 114 124 174 184 198 208 250 258 280 298	236582740712
STPT(10)	2866355607760019717	0 2 24 26 42 44 60 62 84 86	471763972620
STPT(10)	2866356010096036571	0 2 36 38 78 80 120 122 156 158	874099989474
SPT(16)	2866356393739428089	0 12 42 108 110 114 134 140 162 168 188 192 194 260 290 302	1257743380992