Prime p₀= 2656235300667730667 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: JayPi
db: batch=82, k=10, 2 10 2 28 2

STPT(10)	2656234711449860309	0 2 18 20 30 32 42 44 60 62	-589217870358
STPT(12)	2656234821385900661	0 2 18 20 60 62 126 128 168 170 186 188	-479281830006
SPT(16)	2656234870524809963	0 20 36 44 48 78 96 116 198 218 236 266 270 278 294 314	-430142920704
STPT(10)	2656235100755146541	0 2 36 38 78 80 120 122 156 158	-199912584126
STPT(10)	2656235166219234557	0 2 60 62 72 74 84 86 144 146	-134448496110
TPT(14)	2656235174852077307	0 2 60 62 84 86 150 152 210 212 234 236 240 242	-125815653360
SPT(16)	2656235486430852251	0 50 78 98 132 156 212 216 242 246 302 326 360 380 408 458	185763121584
SPT(16)	2656235609239728979	0 4 24 58 190 192 220 238 264 282 310 312 444 478 498 502	308571998312
SPT(16)	2656235904441168589	0 40 60 94 114 124 130 148 270 288 294 304 324 358 378 418	603773437922
STPT(10)	2656236149298208577	0 2 90 92 102 104 114 116 204 206	848630477910
STPT(10)	2656236411651363521	0 2 30 32 78 80 126 128 156 158	1110983632854