Prime p₀= 1123337917217812739 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: 122
Found by: crashtech
db: batch=76, k=10, 2 16 2 40 2

SPT(16)	1123337109189623957	0 32 62 72 80 102 150 234 290 374 422 444 452 462 492 524	-808028188782
STPT(10)	1123337111158415339	0 2 42 44 90 92 138 140 180 182	-806059397400
SPT(16)	1123337167373858351	0 48 122 186 222 230 248 252 326 330 348 356 392 456 530 578	-749843954388
SPT(16)	1123337295249089029	0 30 58 70 84 114 148 154 168 174 208 238 252 264 292 322	-621968723710
SPT(16)	1123337574453627259	0 18 30 52 88 100 168 174 238 244 312 324 360 382 394 412	-342764185480
SPT(16)	1123337773866724069	0 10 40 42 54 58 142 210 262 330 414 418 430 432 462 472	-143351088670
STPT(10)	1123337936531370587	0 2 30 32 42 44 54 56 84 86	19313557848
SPT(16)	1123337940369181709	0 20 30 32 44 68 98 104 138 144 174 198 210 212 222 242	23151368970
STPT(10)	1123338130836452849	0 2 48 50 90 92 132 134 180 182	213618640110
SPT(16)	1123338138919787143	0 28 58 90 136 156 168 210 226 268 280 300 346 378 408 436	221701974404
SPT(16)	1123338656836807049	0 18 20 38 114 122 140 162 170 192 210 218 294 312 314 332	739618994310