Prime p₀= 1006098673057300967 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: stoneageman
db: batch=76, k=10, 2 58 2 10 2

SPT(18)	1006097925620663257	0 54 84 96 154 156 180 184 214 282 312 316 340 342 400 412 442 496	-747436637710
SPT(16)	1006097975755366357	0 22 30 34 40 100 120 156 160 196 216 276 282 286 294 316	-697301934610
STPT(10)	1006097981854567727	0 2 30 32 72 74 114 116 144 146	-691202733240
STPT(10)	1006098216666345557	0 2 30 32 42 44 54 56 84 86	-456390955410
SPT(16)	1006098429466624003	0 30 58 100 108 118 136 160 234 258 276 286 294 336 364 394	-243590676964
STPT(10)	1006098657513969959	0 2 18 20 30 32 42 44 60 62	-15543331008
SPT(16)	1006098880302706843	0 6 16 24 66 76 94 100 120 126 144 154 196 204 214 220	207245405876
STPT(10)	1006098992272325591	0 2 6 8 48 50 90 92 96 98	319215024624
SPT(16)	1006099236148339117	0 54 64 96 120 130 136 262 264 390 396 406 430 462 472 526	563091038150
SPT(16)	1006099268848105189	0 42 70 72 94 154 162 184 240 262 270 330 352 354 382 424	595790804222
SPT(16)	1006099307395762163	0 8 90 96 108 110 138 140 174 176 204 206 218 224 306 314	634338461196