Prime p₀= 2321990142013305497 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)	2321988609849777971	0 48 50 56 78 92 128 152 156 180 216 230 252 258 260 308	-1532163527526
SPT(13)	2321988650087904367	0 30 36 84 96 114 180 246 264 276 324 330 360	-1491925401130
STPT(10)	2321988957649110707	0 2 12 14 42 44 72 74 84 86	-1184364194790
SPT(16)	2321989780141913873	0 66 68 78 120 138 164 168 176 180 206 224 266 276 278 344	-361871391624
STPT(10)	2321989898628080267	0 2 30 32 72 74 114 116 144 146	-243385225230
TPT(14)	2321990048738667287	0 2 54 56 114 116 120 122 192 194 222 224 324 326	-93274638210
SPT(16)	2321991195431477069	0 2 48 62 78 162 198 308 324 434 470 554 570 584 630 632	1053418171572
STPT(10)	2321991369857135477	0 2 12 14 72 74 132 134 144 146	1227843829980
TPT(14)	2321991617644951169	0 2 108 110 162 164 168 170 192 194 210 212 222 224	1475631645672
SPT(16)	2321992791117239459	0 24 32 48 62 90 104 162 170 228 242 270 284 300 308 332	2649103933962
SPT(16)	2321993342711258641	0 40 46 112 132 172 216 250 252 286 330 370 390 456 462 502	3200697953144