Prime p₀= 2003557157087667287 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: Dingo
db: batch=80, k=10, 2 10 2 28 2

SPT(16)	2003555172252225923	0 6 24 44 80 116 156 174 200 218 258 294 330 350 368 374	-1984835441364
STPT(10)	2003555813393414051	0 2 36 38 78 80 120 122 156 158	-1343694253236
SPT(16)	2003556559802466181	0 16 28 88 90 130 148 156 232 240 258 298 300 360 372 388	-597285201106
STPT(12)	2003556972714276101	0 2 36 38 48 50 78 80 90 92 126 128	-184373391186
TPT(14)	2003557014122828387	0 2 12 14 114 116 240 242 252 254 354 356 450 452	-142964838900
SPT(16)	2003557068677029777	0 22 52 60 94 150 162 172 174 184 196 252 286 294 324 346	-88410637510
STPT(10)	2003557199965154357	0 2 30 32 42 44 54 56 84 86	42877487070
STPT(10)	2003557286048621489	0 2 18 20 30 32 42 44 60 62	128960954202
SPT(16)	2003557451793207301	0 12 36 102 118 192 210 250 258 298 316 390 406 472 496 508	294705540014
SPT(16)	2003557643995640167	0 12 22 52 112 114 130 144 190 204 220 222 282 312 322 334	486907972880
SPT(16)	2003557982712138851	0 12 26 36 50 66 92 102 116 126 152 168 182 192 206 218	825624471564