Prime p₀= 2164257928936836569 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: Landjunge
db: batch=81, k=10, 2 46 2 40 2

STPT(10)	2164256818091278607	0 2 12 14 72 74 132 134 144 146	-1110845557962
STPT(10)	2164256840155841999	0 2 78 80 120 122 162 164 240 242	-1088780994570
STPT(10)	2164257092433279659	0 2 12 14 30 32 48 50 60 62	-836503556910
SPT(16)	2164257712167762499	0 12 22 52 54 70 100 112 192 204 234 250 252 282 292 304	-216769074070
TPT(14)	2164257839221773431	0 2 6 8 78 80 90 92 108 110 120 122 138 140	-89715063138
SPT(16)	2164257887508760201	0 12 46 96 100 130 132 142 156 166 168 198 202 252 286 298	-41428076368
STPT(10)	2164258236065473589	0 2 18 20 30 32 42 44 60 62	307128637020
SPT(16)	2164258368032973689	0 44 60 68 78 122 162 164 198 200 240 284 294 302 318 362	439096137120
STPT(10)	2164258681076568689	0 2 18 20 30 32 42 44 60 62	752139732120
SPT(16)	2164258931486441521	0 76 90 96 118 132 138 162 166 190 196 210 232 238 252 328	1002549604952
SPT(16)	2164258940672348383	0 10 28 34 36 58 78 94 180 196 216 238 240 246 264 274	1011735511814