Prime p₀= 2732295116126396069 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: Ben
db: batch=82, k=10, 2 16 2 10 2

STPT(10)	2732292843516374387	0 2 12 14 42 44 72 74 84 86	-2272610021682
SPT(16)	2732293195646629523	0 20 60 108 128 140 146 150 164 168 174 186 206 254 294 314	-1920479766546
STPT(10)	2732294576856682037	0 2 12 14 72 74 132 134 144 146	-539269714032
SPT(18)	2732294594220228407	0 12 30 42 56 86 104 116 126 200 210 222 240 270 284 296 314 326	-521906167662
STPT(10)	2732294872392485249	0 2 48 50 90 92 132 134 180 182	-243733910820
SPT(16)	2732295086144489093	0 44 54 98 114 170 174 176 258 260 264 320 336 380 390 434	-29981906976
SPT(16)	2732295157497863707	0 12 22 36 72 96 112 136 210 234 250 274 310 324 334 346	41371467638
SPT(16)	2732295213667881493	0 4 30 48 114 118 168 234 364 430 480 484 550 568 594 598	97541485424
STPT(10)	2732295321939067901	0 2 30 32 78 80 126 128 156 158	205812671832
STPT(10)	2732295336159205511	0 2 36 38 78 80 120 122 156 158	220032809442
TPT(14)	2732295351571342757	0 2 30 32 54 56 90 92 114 116 222 224 432 434	235444946688