Prime p₀= 2315620919022746537 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: WTBroughton
db: batch=81, k=10, 2 40 2 28 2

SPT(16)	2315619905635181471	0 6 20 30 36 42 140 216 266 342 440 446 452 462 476 482	-1013387565066
STPT(10)	2315620164306072851	0 2 78 80 108 110 138 140 216 218	-754716673686
STPT(10)	2315620415654706107	0 2 54 56 132 134 210 212 264 266	-503368040430
STPT(10)	2315620434993324029	0 2 18 20 30 32 42 44 60 62	-484029422508
SPT(16)	2315620550639766257	0 30 90 96 110 150 182 210 236 264 296 336 350 356 416 446	-368382980280
SPT(18)	2315620576607084689	0 18 34 52 70 88 90 112 118 144 150 172 174 192 210 228 244 262	-342415661848
STPT(10)	2315621126240328029	0 2 12 14 30 32 48 50 60 62	207217581492
SPT(16)	2315621246960793461	0 20 26 42 72 132 138 180 188 230 236 296 326 342 348 368	327938046924
SPT(16)	2315621459680727551	0 16 22 112 196 322 360 400 408 448 486 612 696 786 792 808	540657981014
SPT(16)	2315621838900295127	0 2 30 44 56 66 80 90 146 156 170 180 192 206 234 236	919877548590
STPT(10)	2315621891539673999	0 2 42 44 60 62 78 80 120 122	972516927462