Prime p₀= 1297243594049532299 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: Cruncher Pete
db: batch=77, k=10, 2 40 2 16 2

SPT(16)	1297242178220190841	0 72 100 190 196 246 262 280 282 300 316 366 372 462 490 562	-1415829341458
TPT(14)	1297242398472161819	0 2 18 20 60 62 72 74 108 110 138 140 150 152	-1195577370480
STPT(10)	1297242568286975897	0 2 30 32 72 74 114 116 144 146	-1025762556402
SPT(16)	1297242693641530681	0 16 22 30 42 52 66 70 78 82 96 106 118 126 132 148	-900408001618
STPT(10)	1297243223239075631	0 2 120 122 138 140 156 158 276 278	-370810456668
SPT(16)	1297243233873213541	0 46 70 120 132 148 166 210 418 462 480 496 508 558 582 628	-360176318758
STPT(12)	1297243614360159899	0 2 12 14 42 44 138 140 168 170 180 182	20310627600
TPT(14)	1297243965617023427	0 2 12 14 84 86 120 122 150 152 444 446 462 464	371567491128
STPT(10)	1297244526790936811	0 2 6 8 48 50 90 92 96 98	932741404512
SPT(16)	1297244574709454099	0 50 78 98 114 120 158 180 182 204 242 248 264 284 312 362	980659921800
SPT(16)	1297244814895439149	0 24 48 54 64 70 82 90 322 330 342 348 358 364 388 412	1220845906850