Prime p₀= 144278865137136617 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: Tomáš Brada
db: batch=67, k=10, 2 22 2 16 2

SPT(14)	144278813796127181	0 12 42 72 86 92 150 182 240 246 260 290 320 332	-51341009436
SPT(14)	144278827793240177	0 14 72 90 116 156 164 192 200 240 266 284 342 356	-37343896440
SPT(14)	144278830715374441	0 28 36 126 130 142 172 216 246 258 262 352 360 388	-34421762176
SPT(14)	144278836643672177	0 2 20 24 30 42 44 102 104 116 122 126 144 146	-28493464440
SPT(14)	144278853004957399	0 70 144 172 210 222 264 280 322 334 372 400 474 544	-12132179218
SPT(14)	144278856714973207	0 22 36 54 64 76 96 100 120 132 142 160 174 196	-8422163410
SPT(14)	144278869391936911	0 88 172 178 256 258 288 310 340 342 420 426 510 598	4254800294
TPT(12)	144278874932940281	0 2 6 8 18 20 120 122 156 158 198 200	9795803664
STPT(10)	144278886073218497	0 2 30 32 42 44 54 56 84 86	20936081880
SPT(14)	144278888959510031	0 20 38 42 80 110 126 152 168 198 236 240 258 278	23822373414
SPT(14)	144278889040765079	0 14 44 54 60 90 98 144 152 182 188 198 228 242	23903628462