Prime p₀= 1233866828612786651 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: Dr Who Fan
db: batch=77, k=10, 2 4 2 40 2

SPT(16)	1233866355867237523	0 16 18 30 36 48 96 138 148 190 238 250 256 268 270 286	-472745549128
SPT(16)	1233866379090604513	0 48 106 118 184 226 228 238 246 256 258 300 366 378 436 484	-449522182138
STPT(10)	1233866576674171409	0 2 48 50 90 92 132 134 180 182	-251938615242
SPT(16)	1233866639855681731	0 28 60 78 120 196 246 258 268 280 330 406 448 466 498 526	-188757104920
TPT(14)	1233866652711008759	0 2 18 20 60 62 240 242 252 254 282 284 300 302	-175901777892
SPT(16)	1233866685652624451	0 18 26 72 80 96 150 152 156 158 212 228 236 282 290 308	-142960162200
SPT(16)	1233867018863363407	0 4 6 34 84 102 154 174 202 222 274 292 342 370 372 376	190250576756
TPT(14)	1233867035216176157	0 2 30 32 42 44 192 194 234 236 252 254 264 266	206603389506
TPT(14)	1233867072315431249	0 2 78 80 90 92 150 152 168 170 180 182 222 224	243702644598
SPT(16)	1233867179726097211	0 12 36 58 78 96 100 166 252 318 322 340 360 382 406 418	351113310560
STPT(10)	1233867358862221841	0 2 6 8 18 20 30 32 36 38	530249435190