Prime p₀= 1588414352241954467 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: crashtech
db: batch=78, k=10, 2 22 2 16 2

SPT(16)	1588413089376871621	0 6 42 66 120 132 138 162 166 190 196 208 262 286 322 328	-1262865082846
SPT(16)	1588413116890271123	0 14 20 36 56 74 86 110 204 228 240 258 278 294 300 314	-1235351683344
SPT(16)	1588413622002104069	0 2 12 44 54 72 90 98 144 152 170 188 198 230 240 242	-730239850398
TPT(14)	1588413837523821479	0 2 108 110 222 224 342 344 348 350 378 380 402 404	-514718132988
STPT(10)	1588414016815543439	0 2 18 20 30 32 42 44 60 62	-335426411028
STPT(12)	1588414333443541337	0 2 30 32 54 56 60 62 84 86 114 116	-18798413130
SPT(16)	1588414624239258511	0 72 82 90 112 150 156 208 210 262 268 306 328 336 346 418	271997304044
STPT(10)	1588414660461558047	0 2 30 32 42 44 54 56 84 86	308219603580
STPT(10)	1588414860812812577	0 2 30 32 42 44 54 56 84 86	508570858110
SPT(16)	1588414998763703893	0 28 46 84 96 100 144 178 186 220 264 268 280 318 336 364	646521749426
SPT(16)	1588415060077036363	0 46 58 60 126 148 214 216 238 240 306 328 394 396 408 454	707835081896