Prime p₀= 1232664012556967537 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: Spectrum
db: batch=77, k=10, 2 28 2 10 2

STPT(10)	1232663166189757319	0 2 42 44 90 92 138 140 180 182	-846367210218
SPT(16)	1232663166526553431	0 36 66 90 96 112 126 196 216 286 300 316 322 346 376 412	-846030414106
SPT(16)	1232663178697875917	0 12 32 72 84 110 116 122 144 150 156 182 194 234 254 266	-833859091620
STPT(10)	1232663624471369201	0 2 156 158 168 170 180 182 336 338	-388085598336
SPT(16)	1232663903929691579	0 14 48 80 92 104 108 140 162 194 198 210 222 254 288 302	-108627275958
SPT(16)	1232663966836062599	0 42 128 138 144 150 158 194 198 234 242 248 254 264 350 392	-45720904938
TPT(14)	1232664037975638377	0 2 72 74 90 92 102 104 114 116 222 224 264 266	25418670840
STPT(10)	1232664251729744591	0 2 6 8 18 20 30 32 36 38	239172777054
STPT(10)	1232664522564274739	0 2 18 20 30 32 42 44 60 62	510007307202
TPT(14)	1232664842607205769	0 2 12 14 60 62 102 104 150 152 168 170 192 194	830050238232
SPT(16)	1232665408170817301	0 80 98 102 116 128 168 182 186 200 240 252 266 270 288 368	1395613849764