Prime p₀= 2159905687507788851 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Landjunge
db: batch=81, k=10, 2 34 2 40 2

SPT(16)	2159904574065185239	0 28 42 48 54 90 108 160 222 274 292 328 334 340 354 382	-1113442603612
STPT(10)	2159904693355702079	0 2 48 50 90 92 132 134 180 182	-994152086772
STPT(10)	2159905062866188997	0 2 72 74 102 104 132 134 204 206	-624641599854
SPT(16)	2159905257173864887	0 16 22 36 60 100 102 112 144 154 156 196 220 234 240 256	-430333923964
SPT(16)	2159905484617054829	0 12 18 32 42 48 68 78 152 162 182 188 198 212 218 230	-202890734022
STPT(10)	2159905549797070637	0 2 42 44 72 74 102 104 144 146	-137710718214
SPT(16)	2159905798595982599	0 8 12 32 54 60 110 140 162 192 242 248 270 290 294 302	111088193748
SPT(16)	2159905963957216747	0 12 90 94 126 132 150 174 202 226 244 250 282 286 364 376	276449427896
STPT(10)	2159906363595214649	0 2 18 20 30 32 42 44 60 62	676087425798
SPT(16)	2159906481016114261	0 16 30 36 70 82 90 106 132 148 156 168 202 208 222 238	793508325410
TPT(14)	2159906792143632317	0 2 30 32 60 62 84 86 90 92 294 296 354 356	1104635843466