Prime p₀= 1119079908293008577 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: Theadalus
db: batch=76, k=10, 2 22 2 16 2

SPT(16)	1119079072231214057	0 6 14 36 60 90 104 116 120 132 146 176 200 222 230 236	-836061794520
STPT(10)	1119079169475047741	0 2 36 38 78 80 120 122 156 158	-738817960836
TPT(14)	1119079542127669229	0 2 48 50 72 74 120 122 162 164 330 332 420 422	-366165339348
TPT(14)	1119079635092962997	0 2 114 116 150 152 180 182 192 194 240 242 252 254	-273200045580
SPT(16)	1119079686309357277	0 42 102 120 154 162 180 186 190 196 214 222 256 274 334 376	-221983651300
STPT(10)	1119079747019936729	0 2 18 20 30 32 42 44 60 62	-161273071848
TPT(14)	1119080042318379431	0 2 90 92 96 98 168 170 180 182 336 338 378 380	134025370854
SPT(16)	1119080115272322817	0 4 42 52 54 60 82 96 160 174 196 202 204 214 252 256	206979314240
SPT(16)	1119080154951382321	0 40 42 46 70 96 120 136 162 178 202 228 252 256 258 298	246658373744
TPT(14)	1119080223629146769	0 2 12 14 48 50 132 134 180 182 240 242 258 260	315336138192
SPT(16)	1119080574721898389	0 40 82 84 108 118 184 198 304 318 384 394 418 420 462 502	666428889812