Prime p₀= 3086146626636192017 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 88 2 88 2 40 2 (?)
a_n: 0 2 42 44 132 134 222 224 264 266
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: [SG-2W]Kurzer
db: batch=83, k=10, 2 40 2 88 2

SPT(16)	3086145243853436383	0 6 24 28 36 40 54 78 166 190 204 208 216 220 238 244	-1382782755634
STPT(10)	3086145257560945607	0 2 30 32 42 44 54 56 84 86	-1369075246410
SPT(16)	3086145490962206377	0 4 46 96 124 126 132 172 174 214 220 222 250 300 342 346	-1135673985640
SPT(16)	3086145649154414923	0 4 24 40 46 76 90 118 186 214 228 258 264 280 300 304	-977481777094
SPT(16)	3086146312123538243	0 26 48 68 126 138 144 164 210 230 236 248 306 326 348 374	-314512653774
SPT(16)	3086146434587135851	0 40 96 142 156 180 198 252 406 460 478 502 516 562 618 658	-192049056166
SPT(16)	3086146738612648483	0 10 16 34 36 64 94 114 160 180 210 238 240 258 264 274	111976456466
TPT(14)	3086147006824062287	0 2 54 56 72 74 120 122 150 152 162 164 210 212	380187870270
SPT(18)	3086147513246834341	0 16 40 76 106 120 132 148 162 166 180 196 208 222 252 288 312 328	886610642324
STPT(10)	3086147837588323559	0 2 18 20 60 62 102 104 120 122	1210952131542
STPT(10)	3086148184686883541	0 2 36 38 78 80 120 122 156 158	1558050691524