Prime p₀= 1242631313633308787 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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=77, k=10, 2 22 2 16 2

STPT(12)	1242630137162570417	0 2 42 44 72 74 132 134 162 164 204 206	-1176470738370
STPT(10)	1242630749356551407	0 2 30 32 72 74 114 116 144 146	-564276757380
STPT(10)	1242630809163787409	0 2 42 44 60 62 78 80 120 122	-504469521378
SPT(16)	1242630940419433687	0 40 64 82 84 124 132 136 150 154 162 202 204 222 246 286	-373213875100
SPT(16)	1242631034805720499	0 24 34 52 60 78 108 112 150 154 184 202 210 228 238 262	-278827588288
SPT(16)	1242631224796076461	0 16 22 30 42 52 90 112 120 142 180 190 202 210 216 232	-88837232326
STPT(10)	1242631330745189039	0 2 48 50 90 92 132 134 180 182	17111880252
STPT(10)	1242631410237132857	0 2 30 32 42 44 54 56 84 86	96603824070
STPT(10)	1242631682250532667	0 2 30 32 60 62 90 92 120 122	368617223880
SPT(16)	1242632219983373767	0 6 22 42 52 64 120 132 214 226 282 294 304 324 340 346	906350064980
STPT(10)	1242632770721214581	0 2 36 38 78 80 120 122 156 158	1457087905794