Prime p₀= 1022095230389774249 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: stoneageman
db: batch=76, k=10, 2 40 2 16 2

SPT(16)	1022093097292482433	0 10 30 36 58 64 70 136 168 234 240 246 268 274 294 304	-2133097291816
STPT(10)	1022094205390318889	0 2 12 14 90 92 168 170 180 182	-1024999455360
SPT(16)	1022094586142403209	0 24 30 38 78 102 140 150 182 192 230 254 294 302 308 332	-644247371040
STPT(10)	1022095051695672419	0 2 12 14 90 92 168 170 180 182	-178694101830
SPT(16)	1022095177515954233	0 24 68 104 128 198 206 228 236 258 266 336 360 396 440 464	-52873820016
SPT(16)	1022095199051217677	0 24 80 96 114 126 140 156 194 210 224 236 254 270 326 350	-31338556572
SPT(16)	1022095338242455189	0 18 30 40 60 102 114 168 214 268 280 322 342 352 364 382	107852680940
SPT(16)	1022095354747819903	0 6 18 46 84 90 106 166 168 228 244 250 288 316 328 334	124358045654
STPT(10)	1022095634573294117	0 2 12 14 72 74 132 134 144 146	404183519868
SPT(16)	1022096104829789551	0 18 42 66 102 108 126 148 150 172 190 196 232 256 280 298	874440015302
TPT(14)	1022096174576511647	0 2 54 56 72 74 84 86 222 224 240 242 252 254	944186737398