Prime p₀= 1121558536744200557 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: Theadalus
db: batch=76, k=10, 2 28 2 40 2

SPT(16)	1121556916483140997	0 6 60 90 112 124 132 144 202 214 222 234 256 286 340 346	-1620261059560
STPT(10)	1121557057163179457	0 2 60 62 72 74 84 86 144 146	-1479581021100
STPT(10)	1121557075311644327	0 2 30 32 72 74 114 116 144 146	-1461432556230
SPT(16)	1121557709509007777	0 14 56 84 86 90 114 140 156 182 206 210 212 240 282 296	-827235192780
STPT(10)	1121557784853126497	0 2 30 32 60 62 90 92 120 122	-751891074060
SPT(16)	1121558256765888671	0 32 38 60 80 120 126 146 162 182 188 228 248 270 276 308	-279978311886
SPT(16)	1121558666842634231	0 2 12 38 60 78 128 206 282 360 410 428 450 476 486 488	130098433674
STPT(10)	1121558928018368687	0 2 12 14 42 44 72 74 84 86	391274168130
SPT(16)	1121559041904128237	0 2 36 50 56 102 104 144 212 252 254 300 306 320 354 356	505159927680
STPT(10)	1121559070987669817	0 2 24 26 42 44 60 62 84 86	534243469260
TPT(14)	1121559524828418449	0 2 90 92 102 104 180 182 198 200 228 230 252 254	988084217892