Prime p₀= 2567663026141179059 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: JayPi
db: batch=82, k=10, 2 40 2 16 2

SPT(16)	2567661511220393719	0 24 28 48 54 84 150 160 312 322 388 418 424 444 448 472	-1514920785340
STPT(10)	2567661622951161731	0 2 36 38 78 80 120 122 156 158	-1403190017328
STPT(10)	2567661670154051267	0 2 30 32 42 44 54 56 84 86	-1355987127792
STPT(10)	2567661738627502967	0 2 72 74 102 104 132 134 204 206	-1287513676092
SPT(16)	2567662259412129431	0 12 26 30 32 60 62 96 146 180 182 210 212 216 230 242	-766729049628
SPT(16)	2567662806203507351	0 20 30 36 42 86 108 146 192 230 252 296 302 308 318 338	-219937671708
STPT(10)	2567663114736407579	0 2 12 14 90 92 168 170 180 182	88595228520
TPT(14)	2567663292148092947	0 2 30 32 42 44 90 92 132 134 180 182 222 224	266006913888
SPT(16)	2567663409572372129	0 18 30 50 78 140 152 174 308 330 342 404 432 452 464 482	383431193070
SPT(16)	2567663568186194393	0 80 84 110 114 144 164 186 194 216 236 266 270 296 300 380	542045015334
SPT(13)	2567663681334521179	0 48 60 78 138 168 174 180 210 270 288 300 348	655193342120