Prime p₀= 4387618550790583349 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 46 2 46 2 40 2 (?)
a_n: 0 2 42 44 90 92 138 140 180 182
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: 182
Found by: [SG]KidDoesCrunch
db: batch=85, k=10, 2 40 2 46 2

STPT(10)	4387616766140419421	0 2 36 38 78 80 120 122 156 158	-1784650163928
STPT(10)	4387616901763530077	0 2 24 26 42 44 60 62 84 86	-1649027053272
SPT(16)	4387617918998456053	0 10 28 48 70 108 160 216 238 294 346 384 406 426 444 454	-631792127296
SPT(16)	4387618142959147801	0 18 22 42 66 70 102 106 132 136 168 172 196 216 220 238	-407831435548
SPT(16)	4387618143525903841	0 10 42 76 102 126 130 142 246 258 262 286 312 346 378 388	-407264679508
SPT(16)	4387618473617656063	0 24 66 76 78 94 96 120 154 178 180 196 198 208 250 274	-77172927286
SPT(16)	4387618957178658973	0 24 28 30 84 100 118 136 168 186 204 220 274 276 280 304	406388075624
STPT(10)	4387619021520644549	0 2 12 14 90 92 168 170 180 182	470730061200
STPT(10)	4387619086453895021	0 2 36 38 78 80 120 122 156 158	535663311672
SPT(16)	4387619504251010257	0 10 16 24 112 154 184 192 214 222 252 294 382 390 396 406	953460426908
STPT(10)	4387619626905037319	0 2 18 20 30 32 42 44 60 62	1076114453970