Prime p₀= 1016627814318176309 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: stoneageman
db: batch=76, k=10, 2 16 2 10 2

SPT(16)	1016624865022641097	0 12 42 46 54 70 100 126 130 156 186 202 210 214 244 256	-2949295535212
SPT(16)	1016625038964709073	0 56 78 96 120 180 188 198 236 246 254 314 338 356 378 434	-2775353467236
SPT(16)	1016625069327460577	0 14 24 36 62 66 90 92 174 176 200 204 230 242 252 266	-2744990715732
SPT(16)	1016626328971430069	0 2 8 60 62 92 102 110 120 128 138 168 170 222 228 230	-1485346746240
TPT(14)	1016626706925311747	0 2 12 14 24 26 114 116 210 212 222 224 234 236	-1107392864562
SPT(16)	1016627227972324217	0 6 54 56 90 96 104 116 210 222 230 236 270 272 320 326	-586345852092
STPT(10)	1016627875200908909	0 2 72 74 120 122 168 170 240 242	60882732600
SPT(16)	1016627985859486739	0 30 44 50 68 72 92 134 138 180 200 204 222 228 242 272	171541310430
STPT(10)	1016628027042152687	0 2 30 32 42 44 54 56 84 86	212723976378
STPT(10)	1016629392891000389	0 2 42 44 90 92 138 140 180 182	1578572824080
STPT(10)	1016629589138758919	0 2 18 20 30 32 42 44 60 62	1774820582610