Prime p₀= 404875891564309367 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: Cruncher Pete
db: batch=70, k=10, 2 40 2 28 2

STPT(10)	404875781035040561	0 2 36 38 78 80 120 122 156 158	-110529268806
SPT(14)	404875796034981311	0 42 56 120 126 140 152 210 222 236 242 306 320 362	-95529328056
SPT(14)	404875807137858377	0 14 44 54 72 90 114 122 146 164 182 192 222 236	-84426450990
TPT(12)	404875827293055119	0 2 42 44 72 74 108 110 210 212 222 224	-64271254248
SPT(14)	404875863487242779	0 8 42 48 108 140 162 170 192 224 284 290 324 332	-28077066588
SPT(14)	404875879419906049	0 78 100 102 112 114 130 162 178 180 190 192 214 292	-12144403318
SPT(14)	404875893716336827	0 12 22 42 46 64 72 94 102 120 124 144 154 166	2152027460
SPT(14)	404875899379525801	0 6 16 28 36 42 52 96 106 112 120 132 142 148	7815216434
SPT(14)	404875909071290389	0 28 64 78 84 94 108 130 144 154 160 174 210 238	17506981022
SPT(14)	404875914742724881	0 36 40 78 88 102 106 162 166 180 190 228 232 268	23178415514
SPT(14)	404875917498601001	0 6 26 66 126 146 176 192 222 242 302 342 362 368	25934291634