Prime p₀= 1297242568286975897 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: 146
Found by: Cruncher Pete
db: batch=77, k=10, 2 28 2 40 2

TPT(14)	1297241208494274101	0 2 48 50 60 62 78 80 156 158 168 170 210 212	-1359792701796
STPT(10)	1297241473721029547	0 2 12 14 42 44 72 74 84 86	-1094565946350
SPT(16)	1297241751400204793	0 24 56 86 98 144 150 156 248 254 260 306 318 348 380 404	-816886771104
STPT(10)	1297241922318648737	0 2 12 14 72 74 132 134 144 146	-645968327160
SPT(16)	1297242178220190841	0 72 100 190 196 246 262 280 282 300 316 366 372 462 490 562	-390066785056
TPT(14)	1297242398472161819	0 2 18 20 60 62 72 74 108 110 138 140 150 152	-169814814078
SPT(16)	1297242693641530681	0 16 22 30 42 52 66 70 78 82 96 106 118 126 132 148	125354554784
STPT(10)	1297243223239075631	0 2 120 122 138 140 156 158 276 278	654952099734
SPT(16)	1297243233873213541	0 46 70 120 132 148 166 210 418 462 480 496 508 558 582 628	665586237644
STPT(10)	1297243594049532299	0 2 42 44 60 62 78 80 120 122	1025762556402
STPT(12)	1297243614360159899	0 2 12 14 42 44 138 140 168 170 180 182	1046073184002