Prime p₀= 1010067796663777457 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: HenkM
db: batch=76, k=10, 2 10 2 58 2

TPT(14)	1010067061001940941	0 2 96 98 228 230 306 308 336 338 366 368 396 398	-735661836516
SPT(16)	1010067186449488549	0 4 18 22 42 70 78 114 238 274 282 310 330 334 348 352	-610214288908
STPT(10)	1010067337821387737	0 2 84 86 132 134 180 182 264 266	-458842389720
SPT(16)	1010067355941811301	0 2 50 72 78 116 120 138 140 158 162 200 206 228 276 278	-440721966156
SPT(16)	1010067465698475001	0 30 42 58 60 72 130 160 168 198 256 268 270 286 298 328	-330965302456
SPT(16)	1010067485083676401	0 12 30 72 82 120 162 166 246 250 292 330 340 382 400 412	-311580101056
STPT(10)	1010067819432530387	0 2 12 14 42 44 72 74 84 86	22768752930
SPT(16)	1010067873477740813	0 54 66 80 116 156 194 236 324 366 404 444 480 494 506 560	76813963356
STPT(10)	1010068104487973891	0 2 6 8 48 50 90 92 96 98	307824196434
TPT(14)	1010068225309976489	0 2 42 44 72 74 138 140 150 152 270 272 282 284	428646199032
SPT(16)	1010068445581460431	0 12 22 36 70 96 102 166 216 280 286 312 346 360 370 382	648917682974