Prime p₀= 2556446395388585597 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: [SG-FC] hl
db: batch=82, k=10, 2 58 2 10 2

SPT(16)	2556445268034013877	0 42 44 96 132 146 164 180 206 222 240 254 290 342 344 386	-1127354571720
SPT(16)	2556445330332900679	0 24 78 180 190 228 232 238 264 270 274 312 322 424 478 502	-1065055684918
TPT(16)	2556445497640450751	0 2 18 20 60 62 96 98 108 110 150 152 168 170 186 188	-897748134846
SPT(16)	2556445887713436079	0 54 60 78 114 142 162 168 184 190 210 238 274 292 298 352	-507675149518
STPT(10)	2556446005270638977	0 2 60 62 72 74 84 86 144 146	-390117946620
TPT(14)	2556446019068890211	0 2 6 8 90 92 156 158 168 170 240 242 306 308	-376319695386
STPT(12)	2556447351847811831	0 2 6 8 48 50 78 80 120 122 126 128	956459226234
STPT(10)	2556447454712982671	0 2 36 38 78 80 120 122 156 158	1059324397074
STPT(10)	2556447987254887907	0 2 24 26 42 44 60 62 84 86	1591866302310
STPT(10)	2556448153729982117	0 2 12 14 72 74 132 134 144 146	1758341396520
STPT(10)	2556448192775992817	0 2 30 32 42 44 54 56 84 86	1797387407220