Prime p₀= 1024719749048201819 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: stoneageman
db: batch=76, k=10, 2 16 2 10 2

STPT(10)	1024717023438465347	0 2 12 14 42 44 72 74 84 86	-2725609736472
SPT(16)	1024717530331314899	0 8 14 24 30 62 80 98 114 132 150 182 188 198 204 212	-2218716886920
STPT(10)	1024717852735230131	0 2 30 32 78 80 126 128 156 158	-1896312971688
SPT(16)	1024718223252554177	0 20 54 62 90 114 120 152 162 194 200 224 252 260 294 314	-1525795647642
SPT(16)	1024718238550729189	0 18 34 48 60 70 108 130 132 154 192 202 214 228 244 262	-1510497472630
SPT(16)	1024718739967949009	0 12 54 60 78 90 132 140 222 230 272 284 302 308 350 362	-1009080252810
STPT(10)	1024720092697179059	0 2 18 20 30 32 42 44 60 62	343648977240
SPT(16)	1024720143201199871	0 32 72 86 90 110 116 138 200 222 228 248 252 266 306 338	394152998052
STPT(10)	1024720152718336727	0 2 42 44 72 74 102 104 144 146	403670134908
STPT(10)	1024720359854360339	0 2 18 20 60 62 102 104 120 122	610806158520
STPT(12)	1024720491841256009	0 2 42 44 60 62 72 74 90 92 132 134	742793054190