Prime p₀= 1100945038712720951 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 58 2 58 2 76 2 (?)
a_n: 0 2 78 80 138 140 198 200 276 278
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: 278
Found by: Theadalus
db: batch=76, k=10, 2 76 2 58 2

STPT(10)	1100944607941604759	0 2 12 14 90 92 168 170 180 182	-430771116192
STPT(10)	1100944801413019877	0 2 30 32 72 74 114 116 144 146	-237299701074
SPT(16)	1100944806880352309	0 18 30 42 44 50 78 102 110 134 162 168 170 182 194 212	-231832368642
SPT(16)	1100944876918659557	0 2 12 14 54 56 80 96 140 156 180 182 222 224 234 236	-161794061394
SPT(16)	1100944957195217653	0 18 30 58 124 138 168 180 238 250 280 294 360 388 400 418	-81517503298
STPT(10)	1100944961516809439	0 2 18 20 30 32 42 44 60 62	-77195911512
STPT(10)	1100945550297645719	0 2 18 20 30 32 42 44 60 62	511584924768
SPT(16)	1100945661863136497	0 132 150 156 162 176 204 206 210 212 240 254 260 266 284 416	623150415546
SPT(16)	1100945963485368487	0 64 70 76 172 174 216 244 342 370 412 414 510 516 522 586	924772647536
STPT(10)	1100946391921923047	0 2 12 14 72 74 132 134 144 146	1353209202096
SPT(16)	1100946710741088023	0 44 80 86 128 138 140 156 218 234 236 246 288 294 330 374	1672028367072