Prime p₀= 1051416021585225629 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: stoneageman
db: batch=76, k=10, 2 46 2 40 2

SPT(16)	1051415233733004367	0 22 30 36 40 42 64 90 106 132 154 156 160 166 174 196	-787852221262
STPT(10)	1051415398397750567	0 2 30 32 42 44 54 56 84 86	-623187475062
SPT(16)	1051415401168104757	0 24 70 96 130 136 144 192 214 262 270 276 310 336 382 406	-620417120872
SPT(16)	1051415667842773193	0 38 56 78 104 108 140 218 246 324 356 360 386 408 426 464	-353742452436
SPT(16)	1051415806362872693	0 26 36 68 78 98 114 150 224 260 276 296 306 338 348 374	-215222352936
SPT(16)	1051416007600050629	0 18 42 84 102 108 122 182 270 330 344 350 368 410 434 452	-13985175000
STPT(10)	1051416071537801441	0 2 36 38 108 110 180 182 216 218	49952575812
SPT(16)	1051416326483970511	0 22 28 36 60 72 100 102 106 108 136 148 172 180 186 208	304898744882
STPT(12)	1051416700763342129	0 2 60 62 72 74 138 140 150 152 210 212	679178116500
TPT(14)	1051416881965674767	0 2 30 32 72 74 114 116 240 242 264 266 384 386	860380449138
SPT(16)	1051417297088897527	0 52 112 120 136 180 216 222 244 250 286 330 346 354 414 466	1275503671898