Prime p₀= 2412391846993874531 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: conf [MM]
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	2412390000781253897	0 32 50 56 104 120 140 150 176 186 206 222 270 276 294 326	-1846212620634
STPT(10)	2412390011362843397	0 2 12 14 72 74 132 134 144 146	-1835631031134
SPT(16)	2412390432924203467	0 4 10 22 30 60 136 142 234 240 316 346 354 366 372 376	-1414069671064
SPT(16)	2412391136181672379	0 4 12 18 40 70 82 118 144 180 192 222 244 250 258 262	-710812202152
SPT(16)	2412391156212126979	0 18 58 84 102 108 114 120 172 178 184 190 208 234 274 292	-690781747552
SPT(16)	2412391623135037337	0 56 66 80 140 162 176 182 384 390 404 426 486 500 510 566	-223858837194
SPT(16)	2412392777382046997	0 6 74 96 132 146 170 222 284 336 360 374 410 432 500 506	930388172466
STPT(10)	2412392833557876077	0 2 30 32 42 44 54 56 84 86	986564001546
SPT(13)	2412393580994138537	0 42 54 60 90 120 132 144 174 204 210 222 264	1734000264006
STPT(10)	2412393810764030711	0 2 36 38 78 80 120 122 156 158	1963770156180
SPT(16)	2412394126011657899	0 18 30 38 104 128 158 168 170 180 210 234 300 308 320 338	2279017783368