Prime p₀= 1078301786583006647 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 76 2 76 2 52 2 (?)
a_n: 0 2 54 56 132 134 210 212 264 266
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: 266
Found by: Theadalus
db: batch=76, k=10, 2 52 2 76 2

STPT(10)	1078299819234861647	0 2 30 32 72 74 114 116 144 146	-1967348145000
SPT(16)	1078300029453515789	0 8 32 42 50 98 114 120 182 188 204 252 260 270 294 302	-1757129490858
STPT(10)	1078300767862355237	0 2 30 32 72 74 114 116 144 146	-1018720651410
SPT(16)	1078301234847227701	0 6 72 76 78 88 102 126 232 256 270 280 282 286 352 358	-551735778946
STPT(10)	1078301528477953847	0 2 12 14 42 44 72 74 84 86	-258105052800
STPT(10)	1078301663436140291	0 2 30 32 78 80 126 128 156 158	-123146866356
STPT(10)	1078301976424349309	0 2 42 44 90 92 138 140 180 182	189841342662
STPT(10)	1078302072449472257	0 2 90 92 102 104 114 116 204 206	285866465610
SPT(16)	1078302096004436843	0 36 38 44 96 114 128 140 264 276 290 308 360 366 368 404	309421430196
SPT(16)	1078302156549727223	0 8 30 50 74 104 114 134 210 230 240 270 294 314 336 344	369966720576
SPT(16)	1078302449667191107	0 6 36 46 72 90 126 154 192 220 256 274 300 310 340 346	663084184460