Prime p₀= 1123427045533657157 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: JonS
db: batch=76, k=10, 2 40 2 28 2

SPT(16)	1123426341264997109	0 18 68 98 110 138 170 174 224 228 260 288 300 330 380 398	-704268660048
SPT(16)	1123426474210108037	0 12 26 54 56 62 72 144 182 254 264 270 272 300 314 326	-571323549120
STPT(12)	1123426664378051981	0 2 6 8 48 50 78 80 120 122 126 128	-381155605176
SPT(16)	1123426679760666287	0 2 14 62 74 86 96 110 186 200 210 222 234 282 294 296	-365772990870
SPT(16)	1123426748632867051	0 28 60 66 126 156 162 226 282 346 352 382 442 448 480 508	-296900790106
STPT(10)	1123426811112860039	0 2 42 44 60 62 78 80 120 122	-234420797118
STPT(10)	1123427497860692639	0 2 18 20 30 32 42 44 60 62	452327035482
STPT(10)	1123427619608697617	0 2 30 32 42 44 54 56 84 86	574075040460
STPT(10)	1123427806547503157	0 2 30 32 42 44 54 56 84 86	761013846000
SPT(16)	1123428073743078109	0 24 30 52 70 112 114 132 160 178 180 222 240 262 268 292	1028209420952
SPT(16)	1123428254681083829	0 60 90 92 102 122 144 164 168 188 210 230 240 242 272 332	1209147426672