Prime p₀= 2688239246600019941 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: [SG-FC] hl
db: batch=82, k=10, 2 4 2 40 2

SPT(16)	2688237442931261813	0 8 18 26 36 56 146 176 180 210 300 320 330 338 348 356	-1803668758128
SPT(16)	2688238392377951969	0 30 84 90 108 168 182 204 218 240 254 314 332 338 392 422	-854222067972
STPT(10)	2688238647325553237	0 2 24 26 42 44 60 62 84 86	-599274466704
TPT(14)	2688239014536029807	0 2 144 146 180 182 210 212 240 242 264 266 294 296	-232063990134
SPT(16)	2688239057543240057	0 6 36 50 62 86 120 150 152 182 216 240 252 266 296 302	-189056779884
STPT(10)	2688239108503141379	0 2 42 44 90 92 138 140 180 182	-138096878562
SPT(16)	2688239499004226753	0 6 24 26 50 54 84 120 164 200 230 234 258 260 278 284	252404206812
SPT(16)	2688239535041300881	0 12 18 40 42 72 148 172 198 222 298 328 330 352 358 370	288441280940
STPT(10)	2688239650639242779	0 2 48 50 60 62 72 74 120 122	404039222838
SPT(16)	2688240025058439469	0 4 28 34 48 60 90 112 120 142 172 184 198 204 228 232	778458419528
STPT(10)	2688240143997417311	0 2 30 32 78 80 126 128 156 158	897397397370