Prime p₀= 1013541075022373039 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: stoneageman
db: batch=76, k=10, 2 16 2 10 2

SPT(16)	1013540196881666527	0 12 30 34 42 54 72 90 106 124 142 154 162 166 184 196	-878140706512
STPT(10)	1013540304113208587	0 2 42 44 72 74 102 104 144 146	-770909164452
SPT(16)	1013540470493538917	0 12 102 116 156 180 206 222 254 270 296 320 360 374 464 476	-604528834122
STPT(10)	1013540738946874709	0 2 18 20 30 32 42 44 60 62	-336075498330
STPT(10)	1013540739459788789	0 2 18 20 30 32 42 44 60 62	-335562584250
SPT(16)	1013540862701357437	0 6 42 46 94 100 172 186 250 264 336 342 390 394 430 436	-212321015602
STPT(10)	1013541312029345147	0 2 42 44 72 74 102 104 144 146	237006972108
SPT(16)	1013541546334912873	0 4 18 28 70 94 126 136 168 178 210 234 276 286 300 304	471312539834
SPT(16)	1013542375725947377	0 10 24 30 52 66 154 172 294 312 400 414 436 442 456 466	1300703574338
STPT(10)	1013542403765920097	0 2 24 26 42 44 60 62 84 86	1328743547058
TPT(14)	1013542862474333099	0 2 18 20 72 74 102 104 138 140 150 152 252 254	1787451960060