Prime p₀= 1057091173690571219 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: =Lupus=
db: batch=76, k=10, 2 10 2 76 2

TPT(14)	1057089629379429719	0 2 138 140 192 194 300 302 402 404 462 464 468 470	-1544311141500
STPT(10)	1057090135762499099	0 2 18 20 30 32 42 44 60 62	-1037928072120
SPT(16)	1057090271631432221	0 2 32 42 50 72 80 98 222 240 248 270 278 288 318 320	-902059138998
SPT(16)	1057090545693970261	0 18 22 40 42 52 60 66 82 88 96 106 108 126 130 148	-627996600958
SPT(16)	1057090866593630599	0 22 70 90 132 142 162 174 220 232 252 262 304 324 372 394	-307096940620
SPT(13)	1057091070530464009	0 120 132 162 210 234 252 270 294 342 372 384 504	-103160107210
SPT(16)	1057091360564380321	0 46 82 102 112 166 202 222 286 306 342 396 406 426 462 508	186873809102
STPT(10)	1057091432490536591	0 2 36 38 78 80 120 122 156 158	258799965372
SPT(16)	1057091573216706289	0 52 54 58 72 82 118 124 168 174 210 220 234 238 240 292	399526135070
SPT(16)	1057091628844356223	0 18 60 76 166 184 196 198 226 228 240 258 348 364 406 424	455153785004
STPT(10)	1057091661328830077	0 2 30 32 42 44 54 56 84 86	487638258858