Prime p₀= 2623007491016802677 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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 10 2 58 2

SPT(16)	2623005154326433927	0 12 42 64 66 96 136 144 172 180 220 250 252 274 304 316	-2336690368750
STPT(10)	2623005846417993077	0 2 30 32 42 44 54 56 84 86	-1644598809600
SPT(16)	2623006383823423639	0 12 34 70 108 112 150 160 192 202 240 244 282 318 340 352	-1107193379038
STPT(10)	2623006482856932551	0 2 30 32 120 122 210 212 240 242	-1008159870126
SPT(16)	2623007062041040657	0 6 42 54 100 120 156 202 204 250 286 306 352 364 400 406	-428975762020
SPT(16)	2623007319121949101	0 12 16 18 30 82 136 180 298 342 396 448 460 462 466 478	-171894853576
SPT(16)	2623007588681929231	0 40 70 156 168 172 210 220 228 238 276 280 292 378 408 448	97665126554
SPT(16)	2623007649697084973	0 30 66 68 78 98 134 168 206 240 276 296 306 308 344 374	158680282296
SPT(16)	2623008002844118363	0 24 36 78 108 126 160 204 220 264 298 316 346 388 400 424	511827315686
SPT(16)	2623008036075109601	0 8 20 48 66 90 120 132 176 188 218 242 260 288 300 308	545058306924
STPT(10)	2623008372793614941	0 2 36 38 78 80 120 122 156 158	881776812264