Prime p₀= 1074645797492623787 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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 10 2 58 2

SPT(16)	1074645296263616153	0 66 84 116 146 164 168 194 270 296 300 318 348 380 398 464	-501229007634
TPT(14)	1074645297467145797	0 2 30 32 42 44 54 56 120 122 324 326 462 464	-500025477990
SPT(16)	1074645360758785679	0 8 42 54 92 110 132 134 138 140 162 180 218 230 264 272	-436733838108
SPT(16)	1074645456371315497	0 30 84 132 142 160 162 172 282 292 294 312 322 370 424 454	-341121308290
STPT(10)	1074645595916711807	0 2 72 74 102 104 132 134 204 206	-201575911980
SPT(16)	1074645755079984701	0 12 26 32 48 116 152 162 206 216 252 320 336 342 356 368	-42412639086
STPT(10)	1074646135941017609	0 2 12 14 30 32 48 50 60 62	338448393822
SPT(16)	1074646321539633631	0 6 18 40 46 90 106 136 162 192 208 252 258 280 292 298	524047009844
STPT(10)	1074646820761579529	0 2 48 50 60 62 72 74 120 122	1023268955742
TPT(14)	1074646977580762511	0 2 30 32 78 80 126 128 198 200 210 212 246 248	1180088138724
SPT(16)	1074647278599882571	0 6 52 82 100 156 202 216 226 240 286 342 360 390 436 442	1481107258784