Prime p₀= 2713700808339233309 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: 122
Found by: [SG-2W]Kurzer
db: batch=82, k=10, 2 16 2 40 2

SPT(16)	2713698300601041791	0 50 60 66 72 102 120 176 192 248 266 296 302 308 318 368	-2507738191518
STPT(10)	2713699172874168299	0 2 18 20 30 32 42 44 60 62	-1635465065010
TPT(14)	2713699908000923531	0 2 30 32 48 50 60 62 126 128 186 188 198 200	-900338309778
SPT(16)	2713700457464258279	0 8 44 72 90 98 120 212 300 392 414 422 440 468 504 512	-350874975030
STPT(10)	2713700533279263497	0 2 30 32 72 74 114 116 144 146	-275059969812
SPT(16)	2713700727892074157	0 4 6 42 52 70 72 76 150 154 156 174 184 220 222 226	-80447159152
SPT(18)	2713700959207035167	0 56 152 156 182 186 192 236 342 374 480 524 530 534 560 564 660 716	150867801858
SPT(16)	2713701402367054381	0 6 22 42 46 100 112 120 142 150 162 216 220 240 256 262	594027821072
STPT(10)	2713702010625607829	0 2 18 20 60 62 102 104 120 122	1202286374520
STPT(10)	2713702272089303189	0 2 30 32 60 62 90 92 120 122	1463750069880
SPT(16)	2713702510342349173	0 4 46 70 88 96 118 120 124 126 148 156 174 198 240 244	1702003115864