Prime p₀= 1588519977724129997 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: emoga
db: batch=78, k=10, 2 28 2 10 2

SPT(16)	1588518662751876113	0 20 60 90 104 110 146 170 240 264 300 306 320 350 390 410	-1314972253884
STPT(10)	1588518807744274379	0 2 30 32 120 122 210 212 240 242	-1169979855618
TPT(14)	1588518915115989971	0 2 30 32 48 50 168 170 186 188 228 230 246 248	-1062608140026
SPT(16)	1588518988616043623	0 44 54 86 90 128 168 200 294 326 366 404 408 440 450 494	-989108086374
SPT(16)	1588519137467360327	0 36 42 60 104 146 164 194 342 372 390 432 476 494 500 536	-840256769670
TPT(14)	1588519305635366009	0 2 48 50 138 140 318 320 402 404 432 434 462 464	-672088763988
STPT(10)	1588520005055943917	0 2 60 62 72 74 84 86 144 146	27331813920
STPT(10)	1588520192635714187	0 2 90 92 150 152 210 212 300 302	214911584190
SPT(16)	1588520236480596011	0 8 66 140 180 186 192 206 222 236 242 248 288 362 420 428	258756466014
SPT(16)	1588520257611225137	0 6 20 42 110 182 210 216 266 272 300 372 440 462 476 482	279887095140
TPT(14)	1588520279133390947	0 2 12 14 54 56 114 116 180 182 210 212 264 266	301409260950