Prime p₀= 2515506043511928767 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)	2515505514201485857	0 60 84 90 106 154 156 172 174 190 192 240 256 262 286 346	-529310442910
SPT(16)	2515505662410728569	0 4 18 24 54 108 114 130 162 178 184 238 268 274 288 292	-381101200198
SPT(16)	2515505690345360749	0 12 28 58 102 112 114 124 168 178 180 190 234 264 280 292	-353166568018
STPT(10)	2515505702123942147	0 2 42 44 72 74 102 104 144 146	-341387986620
SPT(16)	2515505805638378821	0 28 72 76 88 120 142 190 198 246 268 300 312 316 360 388	-237873549946
STPT(10)	2515505874303090857	0 2 24 26 42 44 60 62 84 86	-169208837910
SPT(16)	2515506103013010227	0 72 74 110 152 182 200 240 266 306 324 354 396 432 434 506	59501081460
STPT(10)	2515506135359528417	0 2 12 14 42 44 72 74 84 86	91847599650
SPT(16)	2515506196632796667	0 14 86 110 180 186 212 224 252 264 290 296 366 390 462 476	153120867900
SPT(16)	2515506647999303381	0 8 62 66 78 86 96 98 120 122 132 140 152 156 210 218	604487374614
SPT(16)	2515506817213409689	0 10 24 60 82 102 112 124 138 150 160 180 202 238 252 262	773701480922