Prime p₀= 745159409245692827 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: Theadalus
db: batch=73, k=10, 2 10 2 28 2

SPT(16)	745158471411564689	0 8 50 72 90 110 162 168 182 188 240 260 278 300 342 350	-937834128138
SPT(16)	745158571368952673	0 18 50 66 140 188 206 216 218 228 246 294 368 384 416 434	-837876740154
SPT(16)	745158607236059197	0 42 60 100 114 124 130 154 210 234 240 250 264 304 322 364	-802009633630
SPT(16)	745158675163232951	0 8 20 62 80 122 132 140 168 176 186 228 246 288 300 308	-734082459876
STPT(10)	745158975034645469	0 2 180 182 210 212 240 242 420 422	-434211047358
STPT(10)	745159177090848731	0 2 30 32 78 80 126 128 156 158	-232154844096
STPT(10)	745159418295731609	0 2 18 20 60 62 102 104 120 122	9050038782
STPT(10)	745159613963336711	0 2 126 128 138 140 150 152 276 278	204717643884
SPT(16)	745159623690566731	0 12 58 72 100 126 132 168 190 226 232 258 286 300 346 358	214444873904
STPT(12)	745159734454301207	0 2 42 44 54 56 60 62 72 74 114 116	325208608380
SPT(16)	745159748393443993	0 30 78 88 100 130 148 184 210 246 264 294 306 316 364 394	339147751166