Prime p₀= 3031888793876357057 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: Alnitak2019
db: batch=82, k=10, 2 22 2 16 2

TPT(14)	3031887925141940861	0 2 36 38 78 80 120 122 138 140 216 218 300 302	-868734416196
SPT(16)	3031888236375058261	0 36 60 66 88 108 120 126 172 178 190 210 232 238 262 298	-557501298796
SPT(16)	3031888247626039367	0 20 54 90 96 102 122 132 164 174 194 200 206 242 276 296	-546250317690
SPT(18)	3031888668187611073	0 48 70 90 130 136 174 184 196 318 330 340 378 384 424 444 466 514	-125688745984
STPT(10)	3031888711688090159	0 2 42 44 90 92 138 140 180 182	-82188266898
SPT(16)	3031888717503892109	0 48 90 114 132 182 198 218 294 314 330 380 398 422 464 512	-76372464948
STPT(10)	3031889037814772909	0 2 12 14 90 92 168 170 180 182	243938415852
SPT(16)	3031889064491007319	0 4 30 40 54 70 78 100 102 124 132 148 162 172 198 202	270614650262
STPT(10)	3031889316351847727	0 2 12 14 42 44 72 74 84 86	522475490670
STPT(10)	3031889387354929817	0 2 60 62 72 74 84 86 144 146	593478572760
STPT(12)	3031890068599479161	0 2 18 20 60 62 96 98 138 140 156 158	1274723122104