Prime p₀= 1249198589619224987 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=77, k=10, 2 10 2 28 2

SPT(16)	1249197686601577753	0 24 66 84 108 120 124 130 144 150 154 166 190 208 250 274	-903017647234
TPT(14)	1249197718054728047	0 2 12 14 84 86 102 104 114 116 132 134 144 146	-871564496940
STPT(10)	1249197981133938917	0 2 12 14 72 74 132 134 144 146	-608485286070
TPT(14)	1249198252495573997	0 2 204 206 222 224 234 236 324 326 414 416 420 422	-337123650990
SPT(16)	1249198323223411499	0 2 30 78 110 138 162 180 182 200 224 252 284 332 360 362	-266395813488
STPT(10)	1249198508101887521	0 2 6 8 48 50 90 92 96 98	-81517337466
STPT(10)	1249198736878619081	0 2 36 38 78 80 120 122 156 158	147259394094
STPT(10)	1249198854873756497	0 2 12 14 42 44 72 74 84 86	265254531510
SPT(16)	1249199468293956863	0 8 14 36 48 60 78 104 120 146 164 176 188 210 216 224	878674731876
STPT(10)	1249199865538529921	0 2 30 32 78 80 126 128 156 158	1275919304934
SPT(16)	1249200096659170267	0 16 54 82 94 112 120 132 184 196 204 222 234 262 300 316	1507039945280