Prime p₀= 2734945969509757457 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: JayPi
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2734945188788282597	0 50 74 80 96 144 150 252 404 506 512 560 576 582 606 656	-780721474860
STPT(10)	2734945551723347771	0 2 6 8 48 50 90 92 96 98	-417786409686
STPT(10)	2734945660953664979	0 2 42 44 60 62 78 80 120 122	-308556092478
STPT(10)	2734945685424397271	0 2 30 32 78 80 126 128 156 158	-284085360186
SPT(16)	2734945725991724701	0 30 36 52 66 70 120 126 256 262 312 316 330 346 352 382	-243518032756
STPT(10)	2734945950982978277	0 2 30 32 42 44 54 56 84 86	-18526779180
SPT(16)	2734946141302842683	0 6 38 84 86 90 116 126 128 138 164 168 170 216 248 254	171793085226
SPT(16)	2734946429796163861	0 18 22 40 78 160 180 196 222 238 258 340 378 396 400 418	460286406404
SPT(16)	2734946433737224717	0 6 52 96 114 142 154 160 216 222 234 262 280 324 370 376	464227467260
STPT(10)	2734947009395584757	0 2 54 56 72 74 90 92 144 146	1039885827300
SPT(16)	2734947339608675329	0 10 12 34 42 54 90 120 124 154 190 202 210 232 234 244	1370098917872