Prime p₀= 2724450640066076819 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: JayPi
db: batch=82, k=10, 2 40 2 16 2

SPT(16)	2724447863472945217	0 40 46 60 82 112 124 126 130 132 144 174 196 210 216 256	-2776593131602
SPT(16)	2724448164995724107	0 26 90 96 122 162 176 180 206 210 224 264 290 296 360 386	-2475070352712
STPT(12)	2724449540775619229	0 2 18 20 60 62 180 182 222 224 240 242	-1099290457590
STPT(10)	2724450016760413397	0 2 30 32 42 44 54 56 84 86	-623305663422
STPT(10)	2724450017201176079	0 2 12 14 30 32 48 50 60 62	-622864900740
STPT(10)	2724450586013809439	0 2 42 44 90 92 138 140 180 182	-54052267380
SPT(16)	2724450698278091777	0 24 44 56 96 126 140 156 194 210 224 254 294 306 326 350	58212014958
SPT(16)	2724451582295031929	0 2 72 92 132 162 182 200 270 288 308 338 378 398 468 470	942228955110
STPT(10)	2724451649737263557	0 2 42 44 72 74 102 104 144 146	1009671186738
SPT(16)	2724452408358140309	0 2 42 50 90 98 108 114 188 194 204 212 252 260 300 302	1768292063490
STPT(10)	2724452538183024917	0 2 30 32 72 74 114 116 144 146	1898116948098