Prime p₀= 811081068372795947 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: GLeeM
db: batch=73, k=10, 2 22 2 16 2

SPT(16)	811080391232563141	0 22 88 96 106 126 156 162 166 172 202 222 232 240 306 328	-677140232806
STPT(10)	811080433528805351	0 2 6 8 18 20 30 32 36 38	-634843990596
SPT(16)	811080524300886641	0 2 42 60 72 86 90 102 116 128 132 146 158 176 216 218	-544071909306
STPT(10)	811080598479202769	0 2 12 14 90 92 168 170 180 182	-469893593178
SPT(16)	811080877243415309	0 12 42 84 104 144 150 152 222 224 230 270 290 332 362 374	-191129380638
SPT(16)	811080925587771191	0 20 30 62 72 90 110 132 218 240 260 278 288 320 330 350	-142785024756
STPT(10)	811081129902248207	0 2 30 32 72 74 114 116 144 146	61529452260
SPT(16)	811081165628436187	0 4 24 72 90 112 130 150 154 174 192 214 232 280 300 304	97255640240
SPT(16)	811081192144937501	0 12 30 42 120 128 152 168 182 198 222 230 308 320 338 350	123772141554
SPT(16)	811081255252573171	0 42 48 52 100 126 130 132 136 138 142 168 216 220 226 268	186879777224
SPT(16)	811082449738036283	0 36 56 120 164 188 198 218 246 266 276 300 344 408 428 464	1381365240336