Prime p₀= 2178869063144103299 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 60 62
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: 62
Found by: Rantanplan
db: batch=81, k=10, 2 10 2 16 2

SPT(16)	2178866761782341011	0 10 16 52 58 142 160 166 192 198 216 300 306 342 348 358	-2301361762288
SPT(16)	2178867021150111689	0 12 74 104 138 140 150 158 174 182 192 194 228 258 320 332	-2041993991610
STPT(10)	2178867509282487839	0 2 12 14 30 32 48 50 60 62	-1553861615460
SPT(16)	2178868140715717361	0 32 78 80 110 120 122 210 278 366 368 378 408 410 456 488	-922428385938
STPT(10)	2178868630569154817	0 2 42 44 72 74 102 104 144 146	-432574948482
SPT(16)	2178868791986240383	0 24 94 96 138 228 250 264 280 294 316 406 448 450 520 544	-271157862916
SPT(16)	2178869257202379559	0 10 12 54 72 82 94 114 208 228 240 250 268 310 312 322	194058276260
SPT(16)	2178869323382089717	0 10 12 54 60 66 96 124 192 220 250 256 262 304 306 316	260237986418
SPT(16)	2178870133938748801	0 6 40 42 70 78 118 130 168 180 220 228 256 258 292 298	1070794645502
SPT(16)	2178870206612854451	0 12 50 72 86 98 126 146 162 182 210 222 236 258 296 308	1143468751152
TPT(14)	2178870253385631569	0 2 150 152 168 170 210 212 348 350 372 374 390 392	1190241528270