Prime p₀= 2053813478257793867 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Dingo
db: batch=80, k=10, 2 22 2 16 2

SPT(16)	2053812648568801457	0 30 42 44 60 74 84 102 134 152 162 176 192 194 206 236	-829688992410
TPT(14)	2053812703426314629	0 2 78 80 162 164 168 170 198 200 210 212 282 284	-774831479238
STPT(10)	2053812756379109861	0 2 36 38 78 80 120 122 156 158	-721878684006
SPT(16)	2053812852240465859	0 28 34 72 102 112 142 190 222 270 300 310 340 378 384 412	-626017328008
SPT(16)	2053813010662384067	0 12 20 50 122 126 140 152 174 186 200 204 276 306 314 326	-467595409800
SPT(16)	2053813222927469953	0 60 144 154 166 180 250 264 280 294 364 378 390 400 484 544	-255330323914
SPT(16)	2053813557484217831	0 18 32 86 98 126 128 168 170 210 212 240 252 306 320 338	79226423964
STPT(10)	2053813775776680569	0 2 42 44 120 122 198 200 240 242	297518886702
SPT(16)	2053814117517682001	0 48 60 80 186 206 210 236 312 338 342 362 468 488 500 548	639259888134
STPT(10)	2053814477574912707	0 2 12 14 72 74 132 134 144 146	999317118840
STPT(10)	2053814882132513177	0 2 12 14 42 44 72 74 84 86	1403874719310