Prime p₀= 1998124403673123137 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: Chooka
db: batch=80, k=10, 2 22 2 16 2

SPT(16)	1998121680745795453	0 10 30 46 78 88 106 118 186 198 216 226 258 274 294 304	-2722927327684
STPT(10)	1998121950128403101	0 2 30 32 60 62 90 92 120 122	-2453544720036
TPT(14)	1998122850949847129	0 2 132 134 180 182 198 200 210 212 222 224 228 230	-1552723276008
SPT(16)	1998123124254395813	0 36 48 68 86 98 140 146 198 204 246 258 276 296 308 344	-1279418727324
SPT(16)	1998123621496354717	0 46 60 72 84 96 136 172 234 270 310 322 334 346 360 406	-782176768420
SPT(16)	1998123645806621689	0 30 72 82 88 94 154 160 192 198 258 264 270 280 322 352	-757866501448
SPT(16)	1998125261428345807	0 42 46 70 84 102 114 132 154 172 184 202 216 240 244 286	857755222670
SPT(16)	1998125670129211751	0 6 32 36 42 56 78 98 150 170 192 206 212 216 242 248	1266456088614
SPT(16)	1998125770675913117	0 24 44 110 150 210 252 282 332 362 404 464 504 570 590 614	1367002789980
STPT(10)	1998125926275456359	0 2 48 50 90 92 132 134 180 182	1522602333222
TPT(14)	1998126242177559491	0 2 6 8 18 20 90 92 96 98 126 128 138 140	1838504436354