Prime p₀= 2536590307490329427 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: [SG-FC] hl
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2536589254731887527	0 30 60 64 72 76 82 142 144 204 210 214 222 226 256 286	-1052758441900
SPT(16)	2536589330854206707	0 6 30 36 84 114 134 146 150 162 182 212 260 266 290 296	-976636122720
SPT(16)	2536589694625954769	0 2 18 20 48 72 102 104 138 140 170 194 222 224 240 242	-612864374658
SPT(13)	2536589696111723633	0 24 36 66 84 90 150 210 216 234 264 276 300	-611378605794
STPT(10)	2536590011804970617	0 2 12 14 42 44 72 74 84 86	-295685358810
STPT(10)	2536590101329080791	0 2 36 38 78 80 120 122 156 158	-206161248636
SPT(16)	2536590546477747379	0 42 64 88 112 118 162 198 244 280 324 330 354 378 400 442	238987417952
STPT(10)	2536590580559811887	0 2 42 44 72 74 102 104 144 146	273069482460
STPT(10)	2536590789089991131	0 2 36 38 78 80 120 122 156 158	481599661704
SPT(16)	2536591061382547649	0 8 20 30 60 98 120 128 132 140 162 200 230 240 252 260	753892218222
STPT(10)	2536591157849677499	0 2 18 20 30 32 42 44 60 62	850359348072