Prime p₀= 1235965341067145639 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: Cruncher Pete
db: batch=77, k=10, 2 16 2 10 2

SPT(16)	1235964240487620463	0 4 28 96 108 124 156 178 186 208 240 256 268 336 360 364	-1100579525176
STPT(10)	1235964796813332791	0 2 6 8 18 20 30 32 36 38	-544253812848
TPT(14)	1235964800027045909	0 2 30 32 60 62 72 74 168 170 198 200 300 302	-541040099730
SPT(16)	1235964934498217837	0 12 36 42 56 62 90 180 212 302 330 336 350 356 380 392	-406568927802
STPT(10)	1235964974123651669	0 2 18 20 30 32 42 44 60 62	-366943493970
SPT(16)	1235965284991323077	0 80 86 114 116 132 140 146 270 276 284 300 302 330 336 416	-56075822562
TPT(14)	1235965411752076001	0 2 6 8 66 68 78 80 120 122 150 152 216 218	70684930362
SPT(16)	1235965501614553481	0 2 32 36 62 92 192 200 258 266 366 396 422 426 456 458	160547407842
STPT(10)	1235965919572556867	0 2 60 62 102 104 144 146 204 206	578505411228
STPT(10)	1235966483923220207	0 2 54 56 72 74 90 92 144 146	1142856074568
SPT(16)	1235966682024101471	0 6 12 26 42 72 210 222 266 278 416 446 462 476 482 488	1340956955832