Prime p₀= 2736824148586658057 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: [SG-FC] hl
db: batch=82, k=10, 2 28 2 40 2

SPT(16)	2736822912151664389	0 40 42 54 60 78 130 162 250 282 334 352 358 370 372 412	-1236434993668
STPT(10)	2736823631812298921	0 2 6 8 48 50 90 92 96 98	-516774359136
STPT(10)	2736823896491523647	0 2 54 56 72 74 90 92 144 146	-252095134410
SPT(16)	2736823968451117579	0 34 52 72 82 94 108 124 168 184 198 210 220 240 258 292	-180135540478
STPT(10)	2736824026865609711	0 2 30 32 60 62 90 92 120 122	-121721048346
SPT(16)	2736824112269364011	0 26 56 68 90 110 126 140 156 170 186 206 228 240 270 296	-36317294046
SPT(16)	2736824190082917643	0 24 46 48 60 88 108 130 174 196 216 244 256 258 280 304	41496259586
SPT(16)	2736824431066748069	0 12 38 50 60 68 204 210 242 248 384 392 402 414 440 452	282480090012
STPT(10)	2736825023763560687	0 2 24 26 42 44 60 62 84 86	875176902630
SPT(16)	2736825360947197577	0 26 84 110 114 116 182 186 260 264 330 332 336 362 420 446	1212360539520
STPT(10)	2736825467162723537	0 2 12 14 42 44 72 74 84 86	1318576065480