Prime p₀= 2159802990551735699 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: 122
Found by: Landjunge
db: batch=81, k=10, 2 16 2 40 2

SPT(16)	2159801988461720831	0 12 42 50 60 86 90 92 306 308 312 338 348 356 386 398	-1002090014868
TPT(14)	2159802505888870727	0 2 150 152 174 176 210 212 234 236 252 254 264 266	-484662864972
SPT(16)	2159802627894233809	0 4 58 138 142 148 154 160 252 258 264 270 274 354 408 412	-362657501890
STPT(10)	2159802779108050787	0 2 42 44 72 74 102 104 144 146	-211443684912
STPT(10)	2159802852304441427	0 2 30 32 72 74 114 116 144 146	-138247294272
SPT(18)	2159802977486464207	0 60 132 172 192 210 226 240 256 300 316 330 346 364 384 424 496 556	-13065271492
SPT(16)	2159803103477581049	0 68 80 90 98 144 210 222 230 242 308 354 362 372 384 452	112925845350
SPT(16)	2159803118725406537	0 14 26 66 84 122 132 174 182 224 234 272 290 330 342 356	128173670838
STPT(10)	2159803566330136091	0 2 30 32 78 80 126 128 156 158	575778400392
SPT(16)	2159803780998243007	0 24 34 60 96 112 132 166 180 214 234 250 286 312 322 346	790446507308
SPT(16)	2159803821803119147	0 60 76 82 84 90 112 130 216 234 256 262 264 270 286 346	831251383448