Prime p₀= 1051288908010261967 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 16 2 16 2 52 2 (?)
a_n: 0 2 54 56 72 74 90 92 144 146
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: stoneageman
db: batch=76, k=10, 2 52 2 16 2

SPT(16)	1051288019457725893	0 30 34 90 100 120 130 174 184 228 238 258 268 324 328 358	-888552536074
STPT(10)	1051288102472021171	0 2 6 8 18 20 30 32 36 38	-805538240796
TPT(14)	1051288525639597799	0 2 72 74 108 110 138 140 162 164 180 182 222 224	-382370664168
SPT(16)	1051288642834489879	0 30 54 70 84 102 108 114 178 184 190 208 222 238 262 292	-265175772088
STPT(10)	1051288810731956141	0 2 36 38 78 80 120 122 156 158	-97278305826
SPT(16)	1051288880467673899	0 22 78 90 142 160 234 252 310 328 402 420 472 484 540 562	-27542588068
SPT(16)	1051289197783397831	0 26 56 98 108 110 122 128 150 156 168 170 180 222 252 278	289773135864
TPT(14)	1051289513702556017	0 2 42 44 114 116 192 194 222 224 324 326 372 374	605692294050
SPT(16)	1051289617960735267	0 6 30 36 112 126 132 142 204 214 220 234 310 316 340 346	709950473300
SPT(16)	1051289677954947779	0 8 20 54 90 98 102 104 138 140 144 152 188 222 234 242	769944685812
STPT(10)	1051289929141181801	0 2 36 38 78 80 120 122 156 158	1021130919834