Prime p₀= 2168389362807124781 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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: 158
Found by: [SG-FC] hl
db: batch=81, k=10, 2 28 2 46 2

SPT(16)	2168387998453903451	0 12 26 36 56 66 68 86 192 210 212 222 242 252 266 278	-1364353221330
SPT(16)	2168388149756097811	0 10 70 72 76 78 142 148 210 216 280 282 286 288 348 358	-1213051026970
STPT(12)	2168388277118464811	0 2 18 20 60 62 156 158 198 200 216 218	-1085688659970
SPT(16)	2168388445309546673	0 30 36 78 80 98 108 230 234 356 366 384 386 428 434 464	-917497578108
STPT(10)	2168388655088418899	0 2 42 44 90 92 138 140 180 182	-707718705882
SPT(13)	2168389002767844121	0 30 42 72 90 108 150 192 210 228 258 270 300	-360039280660
STPT(10)	2168389480969953347	0 2 12 14 42 44 72 74 84 86	118162828566
STPT(10)	2168389929295891307	0 2 30 32 42 44 54 56 84 86	566488766526
STPT(10)	2168390036236262087	0 2 12 14 42 44 72 74 84 86	673429137306
STPT(10)	2168390057687504969	0 2 48 50 90 92 132 134 180 182	694880380188
SPT(16)	2168390169096338371	0 28 60 78 118 120 132 162 196 226 238 240 280 298 330 358	806289213590