Prime p₀= 1249275309306252587 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: biodoc
db: batch=77, k=10, 2 58 2 10 2

SPT(16)	1249273523712136381	0 60 90 106 118 120 148 160 198 210 238 240 252 268 298 358	-1785594116206
TPT(14)	1249274031564137219	0 2 12 14 60 62 90 92 102 104 168 170 210 212	-1277742115368
SPT(16)	1249274079802994233	0 16 30 66 88 108 120 226 288 394 406 426 448 484 498 514	-1229503258354
SPT(16)	1249274235206955193	0 66 120 150 166 196 210 234 250 274 288 318 334 364 418 484	-1074099297394
TPT(14)	1249274358332050019	0 2 30 32 60 62 90 92 102 104 138 140 222 224	-950974202568
SPT(16)	1249274730450821873	0 44 54 66 74 96 138 186 218 266 308 330 338 350 360 404	-578855430714
STPT(10)	1249275315206430269	0 2 18 20 30 32 42 44 60 62	5900177682
SPT(16)	1249275987716921573	0 80 84 120 146 204 206 210 230 234 236 294 320 356 360 440	678410668986
SPT(16)	1249276310556432049	0 42 52 90 100 108 124 138 154 168 184 192 202 240 250 292	1001250179462
STPT(10)	1249276636707458627	0 2 30 32 72 74 114 116 144 146	1327401206040
STPT(10)	1249276695065383637	0 2 42 44 72 74 102 104 144 146	1385759131050