Prime p₀= 2512692719429753009 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 76 2 76 2 40 2 (?)
a_n: 0 2 42 44 120 122 198 200 240 242
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: 242
Found by: Hightower
db: batch=82, k=10, 2 40 2 76 2

SPT(16)	2512690569726062573	0 14 56 86 134 144 150 156 254 260 266 276 324 354 396 410	-2149703690436
STPT(10)	2512691032700579567	0 2 90 92 132 134 174 176 264 266	-1686729173442
SPT(16)	2512691564812779061	0 48 96 106 132 162 228 238 270 280 346 376 402 412 460 508	-1154616973948
SPT(16)	2512691747818830481	0 30 40 46 70 96 112 126 142 156 172 198 222 228 238 268	-971610922528
SPT(16)	2512691954897141957	0 24 30 60 84 104 114 140 216 242 252 272 296 326 332 356	-764532611052
STPT(10)	2512692169309499699	0 2 18 20 30 32 42 44 60 62	-550120253310
SPT(16)	2512692828755115373	0 64 70 76 78 118 124 174 190 240 246 286 288 294 300 364	109325362364
STPT(10)	2512692972992865977	0 2 30 32 72 74 114 116 144 146	253563112968
STPT(10)	2512693078279003589	0 2 12 14 90 92 168 170 180 182	358849250580
STPT(10)	2512693093381818131	0 2 36 38 78 80 120 122 156 158	373952065122
SPT(16)	2512693356511811927	0 12 32 54 104 132 200 252 254 306 374 402 452 474 494 506	637082058918