Prime p₀= 2123341843536346187 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: [SG-2W]Kurzer
db: batch=80, k=10, 2 28 2 10 2

SPT(16)	2123340816570664849	0 22 28 34 58 78 132 160 162 190 244 264 288 294 300 322	-1026965681338
SPT(16)	2123340931128210043	0 46 90 96 108 120 144 178 246 280 304 316 328 334 378 424	-912408136144
STPT(10)	2123341147675596377	0 2 12 14 42 44 72 74 84 86	-695860749810
SPT(16)	2123341255759810531	0 70 90 112 118 142 168 172 198 202 228 252 258 280 300 370	-587776535656
SPT(16)	2123341419494854511	0 12 18 36 50 56 96 98 120 122 162 168 182 200 206 218	-424041491676
SPT(16)	2123341614534220147	0 6 34 96 184 196 210 216 280 286 300 312 400 462 490 496	-229002126040
SPT(16)	2123341892348603617	0 10 40 70 82 130 132 172 210 250 252 300 312 342 372 382	48812257430
SPT(16)	2123342046062349187	0 6 34 84 130 144 150 154 186 190 196 210 256 306 334 340	202526003000
SPT(16)	2123342198541208633	0 4 10 30 46 108 118 120 184 186 196 258 274 294 300 304	355004862446
SPT(16)	2123342854288829599	0 28 70 84 112 114 138 160 192 214 238 240 268 282 324 352	1010752483412
STPT(10)	2123343309175042709	0 2 18 20 30 32 42 44 60 62	1465638696522