Prime p₀= 1245248689251767657 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: arkiss
db: batch=77, k=10, 2 28 2 40 2

SPT(16)	1245247616228256481	0 10 46 60 66 88 96 102 106 112 120 142 148 162 198 208	-1073023511176
STPT(10)	1245248148520783019	0 2 18 20 30 32 42 44 60 62	-540730984638
STPT(10)	1245248237665370759	0 2 72 74 120 122 168 170 240 242	-451586396898
STPT(10)	1245248360478833981	0 2 6 8 48 50 90 92 96 98	-328772933676
TPT(14)	1245248554311772181	0 2 66 68 78 80 90 92 96 98 150 152 288 290	-134939995476
STPT(10)	1245248659573179881	0 2 6 8 48 50 90 92 96 98	-29678587776
SPT(16)	1245248745118430551	0 6 28 66 102 108 118 142 186 210 220 226 262 300 322 328	55866662894
SPT(16)	1245248963049268273	0 6 28 64 66 84 96 106 108 118 130 148 150 186 208 214	273797500616
STPT(10)	1245248981355376097	0 2 60 62 72 74 84 86 144 146	292103608440
SPT(16)	1245249127633299931	0 88 130 132 162 178 186 262 336 412 420 436 466 468 510 598	438381532274
SPT(16)	1245249211474212689	0 20 50 92 104 120 140 180 254 294 314 330 342 384 414 434	522222445032