Prime p₀= 2167162348553975321 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: [SG-FC] hl
db: batch=81, k=10, 2 4 2 40 2

SPT(16)	2167161779904368111	0 18 42 86 116 132 138 152 216 230 236 252 282 326 350 368	-568649607210
STPT(10)	2167161937094236601	0 2 36 38 78 80 120 122 156 158	-411459738720
SPT(16)	2167161949440800831	0 78 122 198 200 210 228 242 246 260 278 288 290 366 410 488	-399113174490
STPT(10)	2167162066795102967	0 2 30 32 102 104 174 176 204 206	-281758872354
STPT(10)	2167162214697080327	0 2 24 26 42 44 60 62 84 86	-133856894994
SPT(16)	2167162259479583683	0 18 28 48 76 78 100 106 168 174 196 198 226 246 256 274	-89074391638
SPT(16)	2167162556078267509	0 90 94 112 130 142 172 198 214 240 270 282 300 318 322 412	207524292188
SPT(16)	2167163133107980471	0 10 48 112 142 156 172 190 198 216 232 246 276 340 378 388	784554005150
SPT(16)	2167163305537474511	0 12 56 102 150 168 180 210 218 248 260 278 326 372 416 428	956983499190
STPT(10)	2167163494491008267	0 2 42 44 72 74 102 104 144 146	1145937032946
STPT(10)	2167163725574412317	0 2 30 32 42 44 54 56 84 86	1377020436996