Prime p₀= 4305598923155922149 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Chooka
db: batch=85, k=10, 2 16 2 10 2

STPT(10)	4305598221285331847	0 2 30 32 60 62 90 92 120 122	-701870590302
SPT(16)	4305598458007380593	0 38 56 126 146 170 198 210 236 248 276 300 320 390 408 446	-465148541556
TPT(14)	4305598510557765329	0 2 42 44 102 104 138 140 192 194 228 230 240 242	-412598156820
STPT(10)	4305598707513300497	0 2 24 26 42 44 60 62 84 86	-215642621652
SPT(13)	4305598725377039509	0 60 102 132 138 150 180 210 222 228 258 300 360	-197778882640
SPT(16)	4305598878502000493	0 24 60 74 126 128 138 170 234 266 276 278 330 344 380 404	-44653921656
TPT(14)	4305599024591746961	0 2 30 32 48 50 78 80 126 128 198 200 258 260	101435824812
SPT(16)	4305599221992307091	0 48 62 72 150 156 168 240 248 320 332 338 416 426 440 488	298836384942
SPT(16)	4305599304882710959	0 18 28 42 70 102 130 132 148 150 178 210 238 252 262 280	381726788810
SPT(16)	4305599305403371531	0 6 36 40 100 106 132 142 180 190 216 222 282 286 316 322	382247449382
SPT(16)	4305599337508052539	0 22 82 112 124 160 174 190 222 238 252 288 300 330 390 412	414352130390