Prime p₀= 1237937909935331777 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: Cruncher Pete
db: batch=77, k=10, 2 40 2 28 2

SPT(16)	1237937002827808441	0 12 46 72 82 112 120 130 138 148 156 186 196 222 256 268	-907107523336
STPT(10)	1237937077095251747	0 2 30 32 42 44 54 56 84 86	-832840080030
TPT(14)	1237937191860377597	0 2 12 14 42 44 114 116 120 122 210 212 252 254	-718074954180
SPT(16)	1237937446437365189	0 24 32 54 90 98 102 110 222 230 234 242 278 300 308 332	-463497966588
STPT(10)	1237937658705951911	0 2 36 38 78 80 120 122 156 158	-251229379866
STPT(10)	1237937688139126031	0 2 36 38 78 80 120 122 156 158	-221796205746
TPT(14)	1237938472854377309	0 2 42 44 72 74 78 80 138 140 198 200 222 224	562919045532
SPT(16)	1237938934724319241	0 60 78 102 120 138 150 168 190 208 220 238 256 280 298 358	1024788987464
SPT(18)	1237939122341796143	0 26 44 96 98 114 150 156 164 210 218 224 260 276 278 330 348 374	1212406464366
SPT(16)	1237939139896003687	0 46 60 64 136 150 154 220 246 312 316 330 402 406 420 466	1229960671910
STPT(10)	1237939173628672787	0 2 30 32 42 44 54 56 84 86	1263693341010