Prime p₀= 2201259401951467379 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Ben
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2201257665856552103	0 26 36 104 114 128 138 146 198 206 216 230 240 308 318 344	-1736094915276
SPT(16)	2201257687531497809	0 18 32 42 62 68 102 110 132 140 174 180 200 210 224 242	-1714419969570
SPT(16)	2201257809997822327	0 6 10 16 24 42 64 70 246 252 274 292 300 306 310 316	-1591953645052
TPT(14)	2201257977081684221	0 2 120 122 126 128 150 152 336 338 348 350 360 362	-1424869783158
STPT(10)	2201258447169337649	0 2 18 20 30 32 42 44 60 62	-954782129730
SPT(16)	2201259279179942473	0 4 16 24 60 64 90 94 126 130 156 160 196 204 216 220	-122771524906
STPT(12)	2201259555447089771	0 2 18 20 60 62 126 128 168 170 186 188	153495622392
SPT(16)	2201259714196760267	0 14 66 92 96 110 134 144 242 252 276 290 294 320 372 386	312245292888
TPT(16)	2201259955451598647	0 2 84 86 102 104 144 146 222 224 282 284 312 314 342 344	553500131268
STPT(10)	2201260005251940011	0 2 36 38 78 80 120 122 156 158	603300472632
SPT(16)	2201260053132476683	0 40 54 58 88 294 348 396 418 466 520 726 756 760 774 814	651181009304