Prime p₀= 2235268079098826087 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Orange Kid
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2235266793686464063	0 4 16 18 30 36 40 64 120 144 148 154 166 168 180 184	-1285412362024
TPT(14)	2235267130480320257	0 2 60 62 114 116 180 182 252 254 312 314 402 404	-948618505830
TPT(14)	2235267436072748681	0 2 90 92 126 128 168 170 240 242 300 302 336 338	-643026077406
SPT(16)	2235267667576432319	0 12 50 54 78 84 90 138 224 272 278 284 308 312 350 362	-411522393768
SPT(16)	2235267734744255209	0 34 82 118 124 130 168 190 192 214 252 258 264 300 348 382	-344354570878
SPT(16)	2235267957867791269	0 12 22 52 118 124 150 192 220 262 288 294 360 390 400 412	-121231034818
STPT(10)	2235268266286171841	0 2 6 8 48 50 90 92 96 98	187187345754
STPT(10)	2235268471733847437	0 2 24 26 42 44 60 62 84 86	392635021350
STPT(10)	2235268539044556551	0 2 6 8 48 50 90 92 96 98	459945730464
STPT(10)	2235268850113297091	0 2 36 38 78 80 120 122 156 158	771014471004
SPT(16)	2235269361803718727	0 12 102 106 132 144 166 172 324 330 352 364 390 394 484 496	1282704892640