Prime p₀= 2116240346936192159 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: 182
Found by: Landjunge
db: batch=80, k=10, 2 46 2 40 2

SPT(16)	2116239746606904167	0 6 20 62 86 110 116 152 174 210 216 240 264 306 320 326	-600329287992
TPT(14)	2116239839201043419	0 2 42 44 48 50 78 80 90 92 132 134 138 140	-507735148740
SPT(16)	2116239915239691533	0 14 24 74 108 110 140 180 248 288 318 320 354 404 414 428	-431696500626
STPT(10)	2116240158875141567	0 2 30 32 72 74 114 116 144 146	-188061050592
SPT(16)	2116240231990375343	0 84 110 158 164 168 194 230 234 270 296 300 306 354 380 464	-114945816816
SPT(16)	2116240276710584923	0 10 28 40 48 66 90 118 198 226 250 268 276 288 306 316	-70225607236
SPT(16)	2116240495568393123	0 18 48 116 150 164 210 230 234 254 300 314 348 416 446 464	148632200964
STPT(10)	2116240500212934881	0 2 30 32 60 62 90 92 120 122	153276742722
STPT(10)	2116240592934760841	0 2 6 8 48 50 90 92 96 98	245998568682
SPT(20)	2116240789424662181	0 36 42 72 110 128 138 168 182 242 246 306 320 350 360 378 416 446 452 488	442488470022
STPT(10)	2116241073913677479	0 2 18 20 30 32 42 44 60 62	726977485320