Prime p₀= 2423259835712976287 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: JayPi
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2423258787755228219	0 2 14 20 24 62 68 90 122 144 150 188 192 198 210 212	-1047957748068
SPT(16)	2423258814318377593	0 10 88 90 120 154 180 208 216 244 270 304 334 336 414 424	-1021394598694
STPT(12)	2423258904237624221	0 2 18 20 60 62 108 110 150 152 168 170	-931475352066
TPT(14)	2423258959532470331	0 2 30 32 198 200 228 230 240 242 270 272 306 308	-876180505956
TPT(14)	2423259049047040781	0 2 36 38 66 68 120 122 150 152 288 290 306 308	-786665935506
SPT(16)	2423259153869913301	0 28 66 88 90 106 138 148 150 160 192 208 210 232 270 298	-681843062986
TPT(14)	2423260239332384579	0 2 30 32 150 152 282 284 360 362 420 422 462 464	403619408292
STPT(10)	2423260331039931191	0 2 156 158 198 200 240 242 396 398	495326954904
STPT(10)	2423261468056088711	0 2 6 8 18 20 30 32 36 38	1632343112424
SPT(16)	2423261509722668443	0 10 28 96 114 126 196 220 294 318 388 400 418 486 504 514	1674009692156
SPT(18)	2423261665252049933	0 90 98 104 168 174 194 234 296 318 380 420 440 446 510 516 524 614	1829539073646