Prime p₀= 726832868010010427 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: Theadalus
db: batch=73, k=10, 2 28 2 10 2

STPT(12)	726831235371085907	0 2 12 14 30 32 54 56 72 74 84 86	-1632638924520
SPT(16)	726831265061540941	0 12 18 46 58 70 100 120 148 168 198 210 222 250 256 268	-1602948469486
TPT(14)	726831441852677699	0 2 42 44 102 104 168 170 192 194 222 224 228 230	-1426157332728
STPT(10)	726831453119548199	0 2 42 44 150 152 258 260 300 302	-1414890462228
SPT(13)	726831674730631969	0 30 42 48 72 108 120 132 168 192 198 210 240	-1193279378458
SPT(18)	726831811214232299	0 2 90 92 120 132 162 198 248 252 302 338 368 380 408 410 498 500	-1056795778128
STPT(10)	726832949851665791	0 2 30 32 138 140 246 248 276 278	81841655364
SPT(16)	726833211772772971	0 6 10 28 72 100 102 126 142 166 168 196 240 258 262 268	343762762544
STPT(10)	726833246131013771	0 2 36 38 78 80 120 122 156 158	378121003344
SPT(16)	726833542978046653	0 4 36 88 100 106 118 130 174 186 198 204 216 268 300 304	674968036226
SPT(18)	726833638325088643	0 16 24 70 94 96 108 138 154 180 196 226 238 240 264 310 318 334	770315078216