Prime p₀= 1177433428728014147 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: Paul
db: batch=77, k=10, 2 28 2 10 2

STPT(12)	1177431959726697377	0 2 24 26 42 44 132 134 150 152 174 176	-1469001316770
STPT(12)	1177432304157558479	0 2 30 32 42 44 120 122 132 134 162 164	-1124570455668
SPT(20)	1177432409338329527	0 6 50 54 56 80 102 120 132 152 174 194 206 224 246 270 272 276 320 326	-1019389684620
STPT(10)	1177432660211827631	0 2 78 80 108 110 138 140 216 218	-768516186516
STPT(10)	1177432711496716109	0 2 42 44 120 122 198 200 240 242	-717231298038
STPT(10)	1177433210174593751	0 2 36 38 78 80 120 122 156 158	-218553420396
TPT(14)	1177434058777029761	0 2 30 32 36 38 78 80 108 110 156 158 198 200	630049015614
SPT(16)	1177435027605815371	0 22 28 30 52 66 72 78 100 106 112 126 148 150 156 178	1598877801224
TPT(14)	1177435222293074027	0 2 24 26 84 86 150 152 162 164 180 182 192 194	1793565059880
SPT(16)	1177435288530657467	0 26 36 42 62 84 90 110 156 176 182 204 224 230 240 266	1859802643320
SPT(16)	1177435528473008671	0 10 42 70 88 136 168 262 396 490 522 570 588 616 648 658	2099744994524