Prime p₀= 2667255629524123439 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 46 2 46 2 40 2 (?)
a_n: 0 2 42 44 90 92 138 140 180 182
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: 182
Found by: JayPi
db: batch=82, k=10, 2 40 2 46 2

STPT(10)	2667253312242535109	0 2 30 32 60 62 90 92 120 122	-2317281588330
SPT(16)	2667253422497296393	0 10 36 76 94 150 154 168 256 270 274 330 348 388 414 424	-2207026827046
STPT(10)	2667253445671419257	0 2 42 44 72 74 102 104 144 146	-2183852704182
TPT(14)	2667254781774647747	0 2 12 14 72 74 102 104 114 116 174 176 210 212	-847749475692
SPT(16)	2667254921924425907	0 62 84 86 110 114 152 156 200 204 242 246 270 272 294 356	-707599697532
STPT(10)	2667255464396820287	0 2 42 44 72 74 102 104 144 146	-165127303152
STPT(10)	2667255815688252071	0 2 6 8 48 50 90 92 96 98	186164128632
SPT(16)	2667255904333746991	0 18 42 48 126 156 178 222 256 300 322 352 430 436 460 478	274809623552
STPT(10)	2667256160099216591	0 2 90 92 168 170 246 248 336 338	530575093152
SPT(16)	2667256179216121991	0 2 32 50 56 60 92 120 122 150 182 186 192 210 240 242	549691998552
SPT(16)	2667256646494518983	0 20 50 66 104 126 144 164 210 230 248 270 308 324 354 374	1016970395544