Prime p₀= 1124986941654714737 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: crashtech
db: batch=76, k=10, 2 28 2 10 2

SPT(16)	1124985462879641017	0 4 6 30 46 76 84 114 142 172 180 210 226 250 252 256	-1478775073720
SPT(16)	1124985528990106327	0 12 36 40 70 102 130 144 172 186 214 246 276 280 304 316	-1412664608410
STPT(10)	1124985586544318687	0 2 24 26 42 44 60 62 84 86	-1355110396050
SPT(16)	1124985885093877879	0 18 24 94 118 144 150 154 168 172 178 204 228 298 304 322	-1056560836858
TPT(14)	1124985899454333647	0 2 12 14 42 44 120 122 150 152 210 212 252 254	-1042200381090
SPT(16)	1124986092945224281	0 36 46 100 102 106 156 162 226 232 282 286 288 342 352 388	-848709490456
SPT(16)	1124987091646967503	0 28 54 94 138 180 226 234 250 258 304 346 390 430 456 484	149992252766
SPT(16)	1124987193933661889	0 12 42 48 68 84 90 122 150 182 188 204 224 230 260 272	252278947152
SPT(16)	1124987303536367387	0 50 84 86 120 200 216 230 240 254 270 350 384 386 420 470	361881652650
SPT(16)	1124988201777313739	0 38 48 78 120 140 192 194 258 260 312 332 374 404 414 452	1260122599002
STPT(10)	1124988547502810537	0 2 30 32 42 44 54 56 84 86	1605848095800