Prime p₀= 1122629487489151907 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: crashtech
db: batch=76, k=10, 2 40 2 28 2

SPT(16)	1122628834342174483	0 16 36 60 70 84 106 120 184 198 220 234 244 268 288 304	-653146977424
SPT(16)	1122628943071328393	0 26 44 54 60 114 116 126 128 138 140 194 200 210 228 254	-544417823514
STPT(10)	1122628993593515669	0 2 48 50 60 62 72 74 120 122	-493895636238
SPT(16)	1122629034862497853	0 6 40 48 60 70 124 160 174 210 264 274 286 294 328 334	-452626654054
SPT(16)	1122629247371446657	0 10 30 64 66 96 112 150 196 234 250 280 282 316 336 346	-240117705250
SPT(16)	1122629381224870819	0 4 18 24 40 54 102 130 132 160 208 222 238 244 258 262	-106264281088
STPT(10)	1122629711326669451	0 2 6 8 48 50 90 92 96 98	223837517544
STPT(10)	1122629902349121347	0 2 24 26 42 44 60 62 84 86	414859969440
STPT(10)	1122629924588709671	0 2 36 38 78 80 120 122 156 158	437099557764
SPT(13)	1122630260670813677	0 12 30 90 102 126 156 186 210 222 282 300 312	773181661770
STPT(10)	1122630385766818457	0 2 12 14 42 44 72 74 84 86	898277666550