Prime p₀= 865905015363057557 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: gemini8
db: batch=73, k=10, 2 22 2 16 2

STPT(10)	865903408317548441	0 2 36 38 78 80 120 122 156 158	-1607045509116
SPT(16)	865903518787625233	0 168 220 234 244 300 328 334 390 396 424 480 490 504 556 724	-1496575432324
STPT(10)	865903838242741391	0 2 36 38 78 80 120 122 156 158	-1177120316166
SPT(16)	865904326482274907	0 14 42 86 144 170 230 254 372 396 456 482 540 584 612 626	-688880782650
STPT(10)	865904342354519717	0 2 12 14 72 74 132 134 144 146	-673008537840
SPT(16)	865904852905160951	0 2 36 98 102 116 126 176 192 242 252 266 270 332 366 368	-162457896606
TPT(14)	865905101086812299	0 2 30 32 78 80 102 104 210 212 240 242 282 284	85723754742
STPT(10)	865905111245734529	0 2 12 14 30 32 48 50 60 62	95882676972
SPT(16)	865905562780732889	0 2 8 38 48 108 128 158 174 204 224 284 294 324 330 332	547417675332
TPT(14)	865905717924853979	0 2 18 20 42 44 90 92 228 230 240 242 282 284	702561796422
TPT(14)	865906110739899869	0 2 12 14 48 50 132 134 168 170 210 212 222 224	1095376842312