Prime p₀= 1587724521781976717 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: emoga
db: batch=78, k=10, 2 10 2 28 2

TPT(14)	1587723429257532839	0 2 30 32 42 44 60 62 138 140 150 152 198 200	-1092524443878
SPT(16)	1587723498498384497	0 54 74 90 134 176 194 242 294 342 360 402 446 462 482 536	-1023283592220
SPT(16)	1587723628597387543	0 28 30 66 84 96 124 136 198 210 238 250 268 304 306 334	-893184589174
SPT(16)	1587723682683908537	0 14 62 74 132 144 162 164 372 374 392 404 462 474 522 536	-839098068180
TPT(14)	1587723698328966641	0 2 48 50 60 62 156 158 210 212 216 218 240 242	-823453010076
STPT(10)	1587724159150476857	0 2 42 44 72 74 102 104 144 146	-362631499860
SPT(16)	1587725095373392489	0 12 22 40 42 114 132 210 232 310 328 400 402 420 430 442	573591415772
SPT(16)	1587725302090970131	0 60 118 138 160 192 202 250 258 306 316 348 370 390 448 508	780308993414
SPT(16)	1587725696472542219	0 8 68 132 134 138 140 180 182 222 224 228 230 294 354 362	1174690565502
STPT(10)	1587725696472542351	0 2 6 8 48 50 90 92 96 98	1174690565634
SPT(16)	1587725863586717053	0 28 36 84 90 124 150 216 238 304 330 364 370 418 426 454	1341804740336