Prime p₀= 1261128651744044957 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: vaughan
db: batch=77, k=10, 2 28 2 10 2

SPT(16)	1261128288754594213	0 4 64 90 118 120 126 130 144 148 154 156 184 210 270 274	-362989450744
SPT(16)	1261128382150396757	0 54 74 86 92 110 116 144 152 180 186 204 210 222 242 296	-269593648200
SPT(16)	1261128397432391333	0 60 96 108 110 126 180 206 258 284 338 354 356 368 404 464	-254311653624
SPT(16)	1261128405701227213	0 10 40 66 78 90 94 118 126 150 154 166 178 204 234 244	-246042817744
TPT(14)	1261128414584470847	0 2 84 86 204 206 252 254 372 374 384 386 420 422	-237159574110
SPT(16)	1261128510589743203	0 18 30 128 150 158 234 308 360 434 510 518 540 638 650 668	-141154301754
SPT(16)	1261128807631420187	0 14 26 84 92 120 152 174 182 204 236 264 272 330 342 356	155887375230
SPT(16)	1261128852592603061	0 2 42 48 72 86 110 126 182 198 222 236 260 266 306 308	200848558104
SPT(16)	1261129036332623951	0 6 30 36 42 50 78 80 138 140 168 176 182 188 212 218	384588578994
SPT(16)	1261129261534162127	0 30 32 44 84 104 132 170 216 254 282 302 342 354 356 386	609790117170
SPT(16)	1261129276496628211	0 18 46 66 72 106 112 142 156 186 192 226 232 252 280 298	624752583254