Prime p₀= 2158029702418688897 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: Landjunge
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2158028933336004607	0 16 42 46 102 154 162 172 264 274 282 334 390 394 420 436	-769082684290
STPT(10)	2158029117693820727	0 2 30 32 72 74 114 116 144 146	-584724868170
STPT(10)	2158029290374852721	0 2 30 32 78 80 126 128 156 158	-412043836176
SPT(16)	2158029397863504043	0 54 58 130 154 184 190 198 280 288 294 324 348 420 424 478	-304555184854
STPT(10)	2158029482134719041	0 2 30 32 60 62 90 92 120 122	-220283969856
STPT(10)	2158029663783086837	0 2 42 44 102 104 162 164 204 206	-38635602060
SPT(16)	2158030606179743467	0 30 34 64 112 130 132 142 144 154 156 174 222 252 256 286	903761054570
STPT(10)	2158031651418912089	0 2 42 44 60 62 78 80 120 122	1949000223192
SPT(16)	2158031730932527231	0 6 22 28 42 52 108 136 162 190 246 256 270 276 292 298	2028513838334
SPT(16)	2158031744839451311	0 6 10 52 70 90 102 106 216 220 232 252 270 312 316 322	2042420762414
STPT(10)	2158032165221740781	0 2 30 32 120 122 210 212 240 242	2462803051884