Prime p₀= 1097373407887549547 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: stoneageman
db: batch=76, k=10, 2 40 2 28 2

SPT(16)	1097372865963191759	0 68 90 110 134 204 240 264 338 362 398 468 492 512 534 602	-541924357788
STPT(10)	1097373025737106169	0 2 18 20 30 32 42 44 60 62	-382150443378
SPT(16)	1097373072747432469	0 22 42 108 112 148 160 174 178 192 204 240 244 310 330 352	-335140117078
SPT(16)	1097373154523644877	0 6 26 30 50 62 72 90 176 194 204 216 236 240 260 266	-253363904670
STPT(10)	1097373301100535629	0 2 42 44 60 62 78 80 120 122	-106787013918
STPT(10)	1097373310351318709	0 2 42 44 60 62 78 80 120 122	-97536230838
SPT(16)	1097373559743321439	0 28 82 108 124 174 190 204 208 222 238 288 304 330 384 412	151855771892
STPT(10)	1097373999588731477	0 2 30 32 42 44 54 56 84 86	591701181930
STPT(10)	1097374148965284401	0 2 30 32 78 80 126 128 156 158	741077734854
TPT(14)	1097375077041222491	0 2 120 122 150 152 210 212 276 278 360 362 378 380	1669153672944
SPT(13)	1097375518978963043	0 18 54 78 108 138 144 150 180 210 234 270 288	2111091413496