Prime p₀= 2159913215236359617 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: 146
Found by: Landjunge
db: batch=81, k=10, 2 58 2 10 2

SPT(16)	2159911938109578743	0 6 24 56 104 110 150 156 224 230 270 276 324 356 374 380	-1277126780874
STPT(10)	2159912026898096459	0 2 18 20 30 32 42 44 60 62	-1188338263158
TPT(14)	2159912207775172271	0 2 36 38 78 80 120 122 126 128 156 158 168 170	-1007461187346
SPT(16)	2159912671865490797	0 2 62 90 92 126 132 140 156 164 170 204 206 234 294 296	-543370868820
SPT(16)	2159912920787632831	0 28 42 60 72 112 142 148 150 156 186 226 238 256 270 298	-294448726786
STPT(10)	2159913078022618727	0 2 30 32 42 44 54 56 84 86	-137213740890
TPT(14)	2159913357107571827	0 2 114 116 234 236 240 242 324 326 390 392 450 452	141871212210
TPT(14)	2159913392876417909	0 2 12 14 42 44 78 80 108 110 120 122 150 152	177640058292
STPT(12)	2159913392876417909	0 2 12 14 42 44 78 80 108 110 120 122	177640058292
STPT(10)	2159913405703257947	0 2 30 32 42 44 54 56 84 86	190466898330
SPT(16)	2159913458660977073	0 110 140 150 164 174 216 306 314 404 446 456 470 480 510 620	243424617456