Prime p₀= 2002051513416485327 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: LeChat51X
db: batch=80, k=10, 2 22 2 16 2

SPT(16)	2002050035502009091	0 18 40 76 100 126 148 156 172 180 202 228 252 288 310 328	-1477914476236
TPT(14)	2002050436490644919	0 2 30 32 120 122 192 194 318 320 330 332 348 350	-1076925840408
STPT(10)	2002050591524313179	0 2 48 50 90 92 132 134 180 182	-921892172148
TPT(14)	2002050677994718301	0 2 30 32 96 98 150 152 156 158 186 188 198 200	-835421767026
TPT(14)	2002051026771611267	0 2 60 62 90 92 114 116 132 134 174 176 180 182	-486644874060
STPT(10)	2002051141860607889	0 2 18 20 30 32 42 44 60 62	-371555877438
SPT(16)	2002052995548634481	0 8 18 38 56 68 78 126 260 308 318 330 348 368 378 386	1482132149154
SPT(16)	2002053119551494601	0 16 40 48 70 78 118 138 148 168 208 216 238 246 270 286	1606135009274
SPT(16)	2002053303452921599	0 24 28 40 70 82 84 108 154 178 180 192 222 234 238 262	1790036436272
STPT(10)	2002053330842216381	0 2 36 38 78 80 120 122 156 158	1817425731054
SPT(18)	2002053467123877367	0 16 22 30 72 90 126 132 156 250 274 280 316 334 376 384 390 406	1953707392040